Daito and Shoto are earning money to grow their College Savings Accounts. Daito has $780 in the College Savings Account and adds $47 each month. Shoto has $220 in the College Savings Account and adds $82 each month. How long until they have the same amount of money? What is the total amount of money they will both have in their COLLEGE SAVINGS ACCOUNTS?

Answers

Answer 1

Answer:

16months

=$1532

Step-by-step explanation:

Daito

780+47x=220+82x

780-220=82x-47x

560=35x

x=16

=16 months


Related Questions

Write the recursive formula for the following sequence 2, 8, 32, 128

Answers

Answer:

an+1 = 4an

Step-by-step explanation:

an+1 = 4an        commonratio:   r=4

2

2x4=8

8x4=32

32x4=128

need help with geometry question

Answers

Answer:
X=17
Angle K=110 degrees
Angle L= 70 degrees
Angle M= 110 degrees
Angle N= 70 degrees


Explanation:
6x + 8 + 2x +36=180
8x + 44= 180
8x = 136
X = 17

6(17)+8
102+8
110

2(17)+ 36
34+36
70

110 + ? =180
180-110= 70

70 + ?=180
180-70=110

WILL MARK BRAINLIEST
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-6= -5(x-3)

Answers

y - 6 = - 5 * x - 5 * (-3)

y - 6 = -5x + 15

y + 5x = 15 + 6

5x + y = 21

Answer:

5x + y = 21.

Step-by-step explanation:

y - 6 = -5(x - 3)

y - 6 = -5x + 15

5x + y - 6 = 15

5x + y = 15 + 6

5x + y = 21.

Betsy, a recent retiree, requires $5,000 per year in extra income. She has $70,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $5,000 in interest per year?

A. The amount of money invested at 13% = ___
B. The amount of money invested at 5% = ___

Answers

A. The amount of money that Betsy should invest n B-rated bonds at 13% is $20,000.

B. The amount of money that Betsy should invest in a certificate of deposit (CD) at 5% is $50,000.

How are CDs different from Bonds?

Certificates of deposit (CDs) are short-term investments in financial institutions (money market) while Bonds are long-term investments in the stock exchange (capital market).

CDs pay reduced interest rates when compared to bonds'.

Data and Calculations:

The amount required per year in interest = $5,000

Total investible funds = $70,000

Interest rate of B-rated bonds = 13%

Interest rate in CD = 5%

Since Betsy is not interested in realizing more than $5,000 in interest per year, she should invest $50,000 in the CD and $20,000 in the B-rated bonds.

The interest in CD = $2,500 ($50,000 x 5%)

The interest in bonds = $2,600 ($20,000 x 13%)

Total interest in CD and bonds = $5,100 ($2,500 + $2,600)

Thus, Betsy should invest $50,000 in the CD and $20,000 in the B-rated bonds.

Learn more about CDs and Bonds at https://brainly.com/question/4853331

ans this sum plsss . ​

Answers

Answer:

See below ↓

Step-by-step explanation:

3.

2/512/253/73/83/10

4.

Draw a number of spacing 0.25 eachStart from -1 to 1-2/8 = -0.25 [mark on line]3/6 = 0.5 [mark on line]

5.

Midpoint of -2/5 and 1/2M = [-2/5 + 1/2] / 2M = [1/10] / 2M = 1/20

The giraffes at the Liberia zoo eat 75 pounds of food per day, and 52.5 pounds per day comes from acacia leaves. How much of their diet comes from other types of leaves?

Julia, the zookeeper, used the equation 52.5 + x = 75 to find the answer. Which equation is an equivalent equation that can be used to solve the problem?

Answers

Answer:

Step-by-step explanation:

75-52.5=x

Evan owns a small business selling ice-cream. He knows that in the last week 83
customers paid cash, 8 customers used a debit card, and 2 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card or a credit card as a percent to the nearest whole number.

Answers

The probability that the next customer will pay with a debit card or a credit card is 12%.

What is the probability that the next customer would pay with a debit card or a credit card?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next customer would pay with a debit card or a credit card = (number of customers that paid with a debit card + number of customers that paid with a credit card) / total number of customers

(8 + 2)/ 83 = 0.12 = 12%

To learn more about probability, please check: https://brainly.com/question/13234031

The regular price of a color TV is $539.22. During a sale, Hill TV is selling the TV for $456.56. Determine the percent decrease in the price of the TV

Answers

Hey there!

Answer: = 15.3296% decrease

How to Calculate Percentage Decrease

Subtract starting value minus final value

=> 539.22 - 456.56

=> 79.66

Divide that amount by the absolute value of the starting value

=> 79.66 ÷ 539.22

=> 0.153296

Multiply by 100 to get percent decrease

=> 0.153296 × 100

=> 15.3296%

If the percentage is negative, it means there was an increase and not an decrease.

Therefore, percentage decrease is 15.3%

What is the value of x?
13 m
15 m

Answers

Answer:

which one?

Step-by-step explanation:

Find the rule from the given table

A.Divide by 2
B.Divide by 3
C.Divide by 5
D.Divide by 6

Answers

Answer:

the answer b

Step-by-step explanation:

te answer b because I guessed

At the beginning of the summer,
Shay had $27 in her savings
account. Shay worked as a
lifeguard and by the end of the
summer had a total of $575 in
her savings account. How much
did Shay save over the summer?

Answers

She saved $548 just for $575 minus the $27

Pam kicked a soccer ball down the field. Part of the ball's path, including its highest
point, is described by the function below, where f(x) is the height of the ball in feet.
According to the function, what is the ball's maximum height, in feet? (Use only the
digits 0-9 to enter the height.)
f(x) =
12x2+2x

Answers

Answer:

maximum height is 45/4 in feet

The maximum height of the ball is 45/4 in feet

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given tha Pam kicked a soccer ball down the field. Part of the ball's path, including its highest point, is described by the function below, where f(x) is the height of the ball in feet.

F(x)= 12x^2+2x        

Thus for this quadratic , the max value will occur at x= -b/2a

=  - 2 / (2 x 1/12) = -12

Plug in -12 to find the max height

= (-12)^2 + 2 x-12

=  45/4 in feet

Learn more about the unitary method, please visit the link given below;

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find the value of x in the diagram

Answers

Answer: there is something off screen i cant see so i cant help you 183- what?

Step-by-step explanation:


[tex] \\ { \rm{If \: }{\tt{A = \left [ \: \begin{array}{ c c c} \: \: \: \: 2 & -3 & - 5 \\ - 1 & \: \: \: 4 & \: \: \: \: 5 \\ \: \: \: \: 1& - 3 & - 4\end{array} \: \: \: \right] \: and \: B = \left[\begin{array}{c c c} \: \: \: \: 2 & - 2 & - 4 \\ - 1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & - 2 & - 3\end{array} \right]}}}, { \rm{shown \: that \: AB = A \: and \: BA = B}}[/tex]
[tex] \: [/tex]
Don't Spam
Explain well ​

Answers

Answer:

Given:

[tex] \\ {\tt{A = \left [ \: \begin{array}{ c c c} \: \: \: \: 2 & -3 & - 5 \\ - 1 & \: \: \: 4 & \: \: \: \: 5 \\ \: \: \: \: 1& - 3 & - 4\end{array} \: \: \: \right] \: and \: B = \left[\begin{array}{c c c} \: \: \: \: 2 & - 2 & - 4 \\ - 1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & - 2 & - 3\end{array} \right]}}[/tex]

Matrix A is of order 3 × 3 and Matrix B is of order 3 × 3

To Show:

Matrix AB = A , BA = B

Formula Used:

[tex]\\ { \rm{ \left[ \begin{array}{c c c} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array} \right] \times \left[ \begin{array}{c c c} b_{11} & b_{12} & b_{13} \\ b_{21} & b_{22} & b_{23} \\ b_{31} & b_{32} & b_{33} \end{array} \right] = \: \left[ \begin{array}{c c c} \: \: a_{11}b_{11} + a_{12}b_{21} + a_{13}b_{31} & a_{11}b_{12} + a_{12}b_{22} + a_{13}b_{32} & a_{11}b_{13} + a_{12}b_{23} + a_{13}b_{33} \\ \: \: a_{21}b_{11} + a_{22}b_{21} + a_{23}b_{31} & a_{21}b_{12} + a_{22}b_{22} + a_{23}b_{32}&a_{21}b_{13} + a_{22}b_{23} + a_{23}b_{33} \\ \: \: a_{31}b_{11} + a_{32}b_{21} + a_{33}b_{31}&a_{31}b_{12} + a_{32}b_{22} + a_{33}b_{32} & a_{31}b_{13} + a_{32}b_{23} + a_{33}b_{33}\end{array} \right]}}[/tex]

If A is a matrix of order a×b and B is a matrix of order c×d , then matrix AB exits and is of order a×d , if and only if b = c.

[tex] \: \: [/tex]

If A is a matrix of order a×b and B is a matrix of order c×d , then matrix BA exits and is of order c×b , if and only if d = a.

[tex] \: \: [/tex]

____________________________________________________________________

For Matrix AB, a = 3, b = c = 3, d = 3 , thus Matrix AB is of order 3×3

[tex]\\ { \rm{Matrix \: AB = \left[ \begin{array}{c c c} \: \: \: \: 2 & -3 & -5 \\ -1 & \: \: \: 4 & \: \: \: \: 5 \\ \: \: \: \: 1 & -3 & -4 \end{array} \right] \times \left[ \begin{array}{c c c} \: \: \: \: 2 & -2 & -4 \\ -1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & -2 & -3 \end{array} \right] = \left[\begin{array}{c c c} \: \: \: \: 2(2)-3(-1)-5(1) & \: \: \: \: 2(-2)-3(3)-5(-2) & \: \: \: \: 2(-4)-3(4)-5(-3) \\ -1(2)+4(-1)+5(1) & -1(-2)+4(3)+5(-2) & -1(-4)+4(4)+5(-3)\\ \: \: \: \: 1(2)-3(-1)-4(1) & \: \: \: \: 1(-2)-3(3)-4(-2) & \: \: \: \: 1(-4)-3(4)-4(-3) \end{array} \right]}}[/tex]

[tex]\\ {\rm{Matrix \: AB = \left[ \begin{array}{c c c} \: \: \: \: 4 + 3 - 5 & \: \: \: -4 -9 + 10 & \: \: -8 - 12 + 15 \\ -2 - 4 + 5 & \: \: \: \: \: \: + 2 + 12 - 10 & \: \: \: \: \: 4 + 16 - 15 \\ \: \: \: \: \: 2 + 3 - 4 & \: \: -2 - 9 + 8 & -4 - 12 + 12 \end{array} \right] = \left[ \begin{array}{c c c} \: \: \: \: 2 & -3 & -5 \\ -1 & \: \: \: \: 4 & \: \: \: 5 \\ \: \: \: \: 1 & -3 & -4 \end{array} \right]}}[/tex]

[tex]\\ {\rm{Matrix \: AB = \left[ \begin{array}{c c c} \: \: \: \: 2 & -3 & -5 \\ -1 & \: \: \: \: 4 & \: \: \: 5 \\ \: \: \: \: 1 & -3 & -4 \end{array} \right] = Matrix \: A}}[/tex]

Matrix AB = Matrix A____________________________________________________________________

For Matrix BA, a = 3, b = c = 3, d = 3 , thus Matrix BA is of order 3 × 3

[tex]\\ {\rm{Matrix \: BA = \left[ \begin{array}{c c c} \: \: \: \: 2 & -2 & -4 \\ -1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & -2 & -3 \end{array} \right] \times \left[ \begin{array}{c c c} \: \: \: \: 2 & -3 & -5 \\ -1 & \: \: \: \: 4 & \: \: \: \: 5 \\ \: \: \: \: \: 1 & -3 & -4 \end{array} \right]}}= \left[ \begin{array}{c c c} \: \: \: \: \: 2(2) -2(-1) -4(1) & \: \: \: \: 2(-3) -2(4) -4(-3) & \: \: \: \: 2(-5) -2(5) -4(-4) \\ \: -1(2) + 3(-1) + 4(1) & -1(-3) + 3(4) +4(-3) & -1(-5) + 3(5) + 4(-4) \\ \: \: \: \: \: 1(2) -2(-1) -3(1) & \: \: \: \: 1(-3) -2(4) -3(-3) & \: \: \: \: 1(-5) -2(5) -3(-4) \end{array} \right][/tex]

[tex]\\{ \rm{Matrix \: BA = \left[ \begin{array}{c c c} \: \: \: \: 4 + 2 - 4 & \: \: \: -6 -8 + 12 & \: \: -10 - 10 + 16 \\ -2 - 3 + 4 & \: \: \: \: \: \: +3 + 12 - 12 & \: \: \: \: \: + 5 + 15 - 16 \\ \: \: \: \: \: 2 + 2 - 3 & \: -3 -8 +9 & \: \: \: \: \: -5 -10 + 12 \end{array} \right] = \left[ \begin{array}{c c c} \: \: \: \: 2 & -2 & -4 \\ -1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & -2 & -3 \end{array} \right]}}[/tex]

[tex]\\{ \rm{Matrix \: BA = \left[ \begin{array}{c c c} \: \: \: \: 2 & -2 & -4 \\ -1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & -2 & -3 \end{array} \right] = Matrix \: B}}[/tex]

Matrix BA = Matrix B____________________________________________________________________

Find the slope of the line passing through the points(-9,-6) and (-4,5)

Answers

Hey there!

We're given 2 points that the line intersects, so we can easily determine the line's slope.

This is the formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{5-(-6)}{-4-(-9)}}[/tex]

[tex]\bold{\displaystyle\frac{5+6}{-4+9}}[/tex]

[tex]\bold{\displaystyle\frac{11}{5}}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{\frac{11}{5} }}}[/tex]

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

:-)

[tex]\rule{200}{2}[/tex]

Lori puts up a sign for her business 500 meters from the main entrance. She once read that it takes the average adult 6 minutes to walk 500 meters. She decides to test this by having 200 adults walk the 500 meters from her sign to her store. Which of the following is the sample in Lori's experiment?​

Answers

Step-by-step explanation:

She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.

Answer: The 200 adults

Step-by-step explanation:

Which is the best definition for adjacent angles?

Answers

Answer:

Adjacent Angles are 2 angles with common sides and a common vertex that don't overlap in any way.

Step-by-step explanation:

Leave a comment if you need any more help. Give Brainiest, please.

What is 1 * 2 = + * 1 = + + 2 2 + 1 8 5 / 9
Whoever answers it gets grevious

Answers

Answer:

Can you use a specific question please

Step-by-step explanation:

Answer: = 17 7/

Step-by-step explanation:

8 1/5 + 9 1/2 = 177/

10

= 17 7/

The table below shows a proportional relationship. True or False?



True
False

Answers

Answer:

False

Step-by-step explanation:

2/10 is not equal to 4/16.

Find the mean of the data.

55,64,58,43,49,67

Answers

Answer=56 because we take sums of the number we divide by how many number are there (55+64+58+43+49+67)all divide by 6 because we have six number so we get 56

Answer:

56

Step-by-step explanation:

Step 1: Order the data

43,49,55,58,64,67

Step 2: Count all numbers and add them up

43+49+55+58+64+67=336 and we have 6 numbers in total so... 336 ÷ 6

Step 3: Divide!

336 ÷ 6 = 56

Hope this helps you!

What expression is equivalent to 12x^4/4x^16 helpppp

Answers

Answer: 48x/64

Work (assuming ^ is multiplication):

12x^4/4x^16

12x ^ 4x = 48x

4 ^ 16 = 64

I need lateral surface

Answers

Answer:

un rhgdb tennis felicidades ID remix estoy do do ID do ID Rockband do ID do TX

CAN SOMEBODY HELP ME SOLVE THIS EQUATION

Answers

it seems to be impossible
1) 400
2) 2 years
3) 200
4) 1002

9
These lists show the ages of attendees in a yoga class and a dance dass
Yoga: 18, 31, 17, 14, 20, 33, 36
Dance: 20, 47, 23, 38, 26, 42, 30
Select from the drop-down menus to correctly complete each statement about the attendees in the two cases
The median age of the attendees in the yoga class is
the median age of the attendees in the dance
The range of ages of the attendees in the yoga class is
the range of ages of the attendees in the conce

Answers

Answer:

median is 20

Step-by-step explanation:

due to both of them having it in there 1 time

Answer:

The Median Age: Yoga Class (31)      Dance Class (30)

The Range: Yoga Class (17-44)        Dance Class (20-47)

Step-by-step explanation:

Solve for n:

n
---- = 1
20

A. n = 23
B. n = 15
C. n = 20
D. n = 32

Answers

Answer:

The answer is C

Step-by-step explanation:

[tex]\frac{n}{20}*20 = 1 * 20[/tex]

1 x 20 = 20

Answer:

C) n = 20

Step-by-step explanation:

hope it helps!

zeros.
Find a polynomial of the specified degree that has the given
Degree 5; zeros -4, -3, 0, 4,3

Answers

Answer:

f(x)=x(x+4)(x+3)(x-4)(x-3)

Step-by-step explanation:

hello :

an  polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)

means : f(x)=x(x+4)(x+3)(x-4)(x-3)

At the store grapes are on sale. You can buy 3 pounds for
$2 dollars. At that rate, how many pounds can you buy
for $8? Show how you know.

Answers

Answer:

If you buy 3 pounds for $2, and have 8 dollars to spend, then multiply 2x4 to get $8. Since we multiplied by 4 for the money, we do the same thing for the pounds of grapes. So, we multiply 3x4 to get 12 pounds. So, you can buy 12 pounds of grapes for $8.

Step-by-step explanation:

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP.

what is the angle measure of an arc bounding sector with an area of 5pie square miles?

Answers

if the diameter is 20, the its radius must be half that or 10.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}[/tex]

the length of a rectagle is 6 ft longer than its width. if the perimeter of the rectangle is 64 ft, find its length and width

Answers

Answer:

19 and 13

Step-by-step explanation:

width = x

length = x + 6

2x + 2(x + 6) = 64

2x + 2x + 12 = 64

4x = 64 - 12

4x = 52

x = 13

x + 6 = 19

Answer:

19 and 13

Step-by-step explanation:

Find the value of x. 1222° 0 111 O 55 O 42 O 138​

Answers

Based on the outside angles theorem, the value of x is: 42°

What is the Outrside Angles Theorem?

The outside angles theorem states that the measure of the angle that is formed outside a circle when two tangents or secants intersect is half the measure of the diffrence of the intercepted arcs.

Given the following:

One arc measure = 222°The second arc measure = 360 - 222 = 138°

Therefore, based on the outside angles theorem, we would have the following:

x = 1/2(222 - 138)

x = 42°

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Select all the correct answers. which two countries signed the limited test ban treaty in 1963? france germany united states great britain china i need help with problem 1 Suppose that 18 inches of wire costs 72 cents.At the same rate, how many inches of wire can be bought for 44 cents Gabriella has the following winter accessories:1 winter coat: black2 hats: blue, purple2 pairs of boots: black, brown5 pairs of mittens: black, blue, purple, red, whiteFind the probability of wearing the coat with the purple hat, black boots, and purple mittens. Find the probability of wearing the coat with the purple hat,black boots,purple mittens? Brainliest if correct Mindy has already saved $20 and plans to save $8 each month.Georgette has no money saved yet but plans to to save $5 each month.Will the girls ever have saved the same amount? PLS HELP ME I WILL MARK THE BRAINLIEST What are the answers for The brainPOP digestive systems 1-10 what is 247*367 can you please help A student has a rectangular block. It is 2 cm wide, 3 cm tall, and 25 cm long. It has a mass of 600 g. First, calculate the volume of the block: density of the block in the different ways of presenting the art subjects, what are the two ways that awakens your curiosity and why? what type of figurative language is "its not wondering what I breathe in, but who, that threatens to choke me"? 100 POINTS AGAIN ON THE LINE!Which of the following BEST explains why Pope Leo III called Charlemagne "Emperor of the Romans"?A Charlemagne came from a long line of Roman rulers.B Charlemagne had conquered half of the former Roman Empire.C The Romans had elected Charlemagne over other kings.D Charlemagne established his headquarters in Rome to be near the pope. Which statement best describes the effect disease had on European and American Indian populations A robot vacuum cleans a dirty floor using multiple passes. During each pass, 24% of the dirt is removed. If the floor initially has 550 ml of dirt, write a function to find out how much dirt will remail after 10 passes?please include function and value. your friend argues that there is no need for scientific names for organisms and that the existence of both scientific and common names will only confise people. Explain why we have both 1. How did the Communists, under Mao, win the peasants' loyalty? We change the _____ basically four times a year for the _____. find the value of (0.810.09)+(0.819) Identify the true and false statements about the early education system.