Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t sandra has two credit cards, p and q. card p has a balance of $726.19 and an interest rate of 10.19%, compounded semiannually. card q has a balance of $855.20 and an interest rate of 8.63%, compounded monthly. assuming that sandra makes no purchases and no payments with either card, after four years, which card’s balance will have increased by more, and how much greater will that increase be? a. card q’s balance increased by $7.22 more than card p’s balance. b. card q’s balance increased by $6.69 more than card p’s balance. c. card p’s balance increased by $3.43 more than card q’s balance. d. card p’s balance increased by $0.80 more than card q’s balance. please select the best answer from the choices provided a b c d
The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:
Case 1: For card p:Initial amount = p = $726.19
The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)
Years for which amount is compounded = 4 years, Thus, t = 4
The interest is compounding semiannually, that means twice per year, thus, n = 2
Thus, the final amount in card p after 4 years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)[/tex]
Case 2: For card q:Initial amount = p = $855.20
The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)
Years for which amount is compounded = 4 years, Thus, t = 4
The interest is compounding monthly, that means twelve times per year, thus, n = 12
Thus, the final amount in card q after 4 years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)[/tex]
Clearly card q has more amount than card p at the end of 4 years.
The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)
Learn more about compound interest here:
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PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER
Answer:
sqrt(37) = arpox 6.1
Step-by-step explanation:
sqrt(1^2+6^2) = sqrt(37)
what is your favirote subject
Answer:
My favorite subject is Science
Step-by-step explanation:
Because it’s really interesting and the concepts about everything that could and will happen is fascinating
Two of the interior angles of a polygon are 134° and 156° and each of the remaining angles is 151°. Find the number of sides of the polygon.
The number of sides of a polygon with interior angles of 134° and 156° and each of the remaining angles as 151° is 12 sides.
Polygons
The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).
Therefore,
Interior angle + exterior angle = 180°
Therefore,
156 + x = 180
x = 180 - 156
x = 24°
134 + y = 180
y = 180 - 134
y = 46°
180 - 151 = z
z = 29°
sum of exterior angle = 360 degrees.
Therefore,
360 - 46 - 24 = 290°
Then,
290 / 29 = 10
The number of sides = 10 + 2 = 12 sides
learn more on polygon here: https://brainly.com/question/473364
LOOK AT THE PICTURE AND ANSWER THE QUESTION TO GET MARKED BEST.
what is the value or x?
10.4
52
61.6
92
Answer:
x = 10.4
Step-by-step explanation:
This is a supplementary apple which means the angle is equal to 180 degrees. You do 180 - 128 which equals 52. Then you divide 52 by 5 to figure out "x". 52 divided by 5 equals 10.4. So x = 10.4.
To make sure, you can plug in "x" as 10.4. (5 * 10.4) equals 52. 52 + 128 equals 180.
Answer:
52
Step-by-step explanation:
180-128=52
the whole angle is 180
What is the pattern;
1=4
2=4
3=64
4= ?
Answer:
64
Step-by-step explanation:
because the next number is equal to the same
Answer:
256
Step-by-step explanation:
Look closely at the stated list in the question:
1=4
2=16
3=64
Notice that the second number is reached by taking the first number and placing it as an exponent to 4.
4^1=4
4^2=16
4^3=64
So the missing number must be 4^4 which is equal to 256
Martin drew a scale drawing of an arcade. The scale he used was 1 inch : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?
Answer: 3 inches
Step-by-step explanation: 9 divided by 3 is 3
Which of the following is true about the decimal form of the number? 25/225
A It is neither a terminating decimal nor a repeating decimal.
B It is both a terminating decimal and a repeating decimal.
C It is a repeating decimal
Answer:
I think it's B because it stops but keeps going.
Step-by-step explanation:
Two angles in a triangle add up to 152 degrees.
what is the size of the third angle?
Answer:
28 degrees
Step-by-step explanation:
A triangle is 180 degrees. 180-152=28.
Answer:
The third angle is 28 degrees
Step-by-step explanation:
A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)
IDENTIFY THE PROPERTY WHICH JUSTIFIES THE FOLLOWING CONCLUSION
A. REFLECTIVE PROPERTY
B. ADDITION PROPERTY OF EQUALITY
C. SYMMETRIC PROPERTY
D. MULTIPLICATION PROPERTY OF EQUALITY
1. If ×=4, then × + 2=7
....__.....__
2.AB = AB
3. If × = y, Then 2× = 2y
4. If 9 = 6+3, then 6+3 =9
Please answer correctly do not concentrate wrong and rely only on the pontos:)
Answer:
Step-by-step explanation:
17) B. They are adding 2 to both sides.
18) A. A segment is equal to itself.
19) D. They are multiplying both sides by 2.
20) C. They are simply swapping the left and right hand sides of the equation
A salesperson earned x dollars last year. The salesperson earned 25% more money this year than last
year. Which expressions represent the amount, in dollars, the salesperson earned this year?
Drag and drop each correct expression into the box.
HELP PLS
More earnings:-
25% of x0.25xTotal earnings this year
x+0.25x(1+0.25)x$1.25xAnswer:
[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]
Step-by-step explanation:
Given:
Last year: $x
Determining the money earned for this year:
This year = 25% more than last year
= $25x/100 + $x
= $x/4 + $4x/4
The expression that represents the money earned this year is $x/4 + $4x/4.
What is X?
(x+22) 2x
(Need help)
Answer:
nasa pic yung sagot
hope its help
Can someone please help me I’m stuck
2x=3
x=3/2 =1.5
In the figure below, k || l and m || n. Find the values of y and x.
Answer:
x = 30
y = 115
Step-by-step explanation:
Suppose line m is parallel to line n:
65+y = 180 because they are supplementary angles
subtract 65 from both sides
y = 115
angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:
3x + 25 = 115 subtract 25 from both sides
3x = 90 divide both sides by 3
x = 30
A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?
A.)(3.14)(5m)2(10m)
B.)(3.14)(5m)2(20m)
C.)(3.14)(10m)2(5m)
D.)(3.14)(20m)2(5m)
what three ratios are equivalent to 6/18
Answer: 3:9, 1:3, 12:36
Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.
this is due tomorrow at 8 pls help
Answer:
a = 4 b = 2 c = 6
Step-by-step explanation:
4 + b = c
b & c are any even numbers between 2 and 9 (2, 4, 6, 8)
c > 4 ( 6, 8)
b < 6 (2, 4)
b can't be the same number, so b is 4 meaning c is 6
Answer:
b=2, c=6
Step-by-step explanation:
Which expression is a factored form of 2x2
25x + 63?
The expression of the factored form of 2x2+25x + 63 is mathematically given as
(x+7)(2x+7)
What is the expression of the factored form of 2x2+25x + 63?Question Parameter(s):
Expression 2x^2+25x + 63?
The expression of the factored form will bear the roots of the expression repressented in standard form
Generally, the equation for the expression is mathematically given as
2x^2+25x + 63?
Therefore
2x^2+25x + 63?
x(2x+7)+9(2x+7)
(x+7)(2x+7)
In conclusion, The expression is
(x+7)(2x+7)
Read more about Arithmetic
https://brainly.com/question/22568180
The photo is shown below, please help!
Answer/Explanation:
The formula for a rectangular prism is Length x Width x Height
With this information we can multiply 6x8x2 and get 96 ft³.
This is the volume of the original prism.
Doubling the dimensions means multiplying each side by 2.
The new dimensions would be a.16 b.4 c.12
Use the formula to find volume. 12x16x4=768
The volume of the enlarged prism is 768 feet³
For bonus question, divide 768 by 96.
The scale factor is 8.
Which choice shows (9 x 3) x 20 correctly rewritten using the associative property and then correctly simplified?
Answer:
I'm guessing it is 3x(9x20)=3x180=540
Step-by-step explanation:
Convert the following fraction to a decimal 20/16
Answer:
1.25
Step-by-step explanation:
32+4 X (16 X ) -2 show your work
Answer:
32+4x(16x)-12=
32+64x-12=
64x-12+32=64x+20
64×÷64÷=20÷64=
x=0.3125
Find 76% of 147 please answer
Answer:
111.72
simplify multiply
⇒ 76% * 147
⇒ (76/100) * 147
⇒ 111.72
Work out the number of boys and girls in the class.
in class 8m, there are 27 pupils. there are twice as many boys as girls. find the number of boys and girls
Answer:
81
Step-by-step explanation:
27 total of pupils.
girls 1×27=27
boys 2×27=54
total 54+27=81
(PLS Need Help ASAP) Don't answer if you don't know pls.
Answer:
y = - x + - 2
Step-by-step explanation:
Using the equation y = mx + b, find the m (slope) from the graph and the b (y-intercept from the graph). The slope, m, is the rise over the run from point A to point B. The rise is -5 and the run is 5. [tex]\frac{-5}{5}[/tex] = -1. The y-intercept, b, is the point the graph passes through the y-axis. The b is -2 so y = -x+-2.
PLEASE ANSWER QUICKLY!!! Find the area of the following shape
Answer:
30 cm²
Step-by-step explanation:
You want to know the area of the given shape.
ParallelogramThe formula for the area of a parallelogram is ...
A = bh
A line from B to E divides the figure into two congruent parallelograms, each having a base of 5 cm and a height of 3 cm.
The area of the figure is ...
A = 2 × (5 cm)(3 cm) = 30 cm²
__
Additional comment
If you draw a line from F to D you get a triangle FED that perfectly matches the space ABC. Moving ∆FED to fill ∆ABC transforms the figure into a rectangle that is 5 cm high and 6 cm wide. Its area is (5 cm)(6 cm) = 30 cm².
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What time would it be if the minute hand rotated by 180 degrees from the current time?
2:30
4:00
3:30
2:15
Answer:
3:30 is the answer
if brainly doesn't let me put this question..
Answer:
8-4+9+3+6-6=36 this is my answer
HELP MEEEEEEEEEEEEEEEE
2,914 rounded to the thousand and to nearest hundred
Answer: 2194.00 and 2194.000
Step-by-step explanation: rounded to the nearest 1000= 2194.000
rounded to the nearest 100 = 2194.00