if the CD matures on her 14th birthday, that means 8 years after she got it, since she got it in her 6th birthday, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &8 \end{cases} \\\\\\ A=6000\left(1+\frac{0.07}{2}\right)^{2\cdot 8}\implies A=6000(1.035)^{16}\implies A\approx 10403.92[/tex]
A square has a perimeter of 36 cm. What is the length of each side?
Answer:
a square has all its sides equal so you divide by 4
to get 9cm
hope it helps!Answer:
4cm
Step-by-step explanation:
4tmes side gives as perimeter
4side =36
x=4
If the number of bacteria in a
colony doubles every 25 hours
and there is currently a population
of 10,000 bacteria, what will the
population be 75 hours Trom now?
Answer:
The population of 75 hours from now would be 40,000.
Step-by-step explanation:
The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.
The tree diagram below shows all of the possible outcomes for flipping three coins.
A tree diagram has outcomes (H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).
What is the probability that at least two of the coins will be tails?
Answer:
1/2
Step-by-step explanation:
Let H = the possible outcomes that include flipping heads
Let T = the possible outcomes that include flipping tails
In order to have an outcome of two coins having tails, that means for each outcome, you must have at least two T's.
Therefore, the possible outcomes are:
(H, T, T)
(T, H, T)
(T, T, H)
(T, T, T)
This is 4 possible outcomes, and since we want to find the probability we find the total number of outcomes and make a fraction.
[tex]4/8 = 1/2[/tex]
There are 8 outcomes, and since 4 work for this scenario, the answer is 1/2.
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Which expression is equivalent to the following complex fraction? startfraction 2 over x endfraction minus startfraction 4 over y endfraction divided by startfraction negative 5 over y endfraction startfraction 3 over x endfraction
The solution of the given complex fraction will be;
[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]
What is complex fraction?The complex fraction is defined as the fraction whose numerator and denominator contains fractions in it.
The given complex fraction is
[tex]\dfrac{\frac{2}{x}-\frac{4}{y}}{\frac{-5}{y}+\frac{3}{x}}[/tex]
Now by taking LCM the equation will become
[tex]\dfrac{\frac{2y-4x}{xy}}{\frac{-5x+3y}{xy}}[/tex]
Now the final expression will be
[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]
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Help!! I'm stuck on these questions..
Answer:
65 degrees
Step-by-step explanation:
A property of a parallelogram is that opposite angles are congruent. opposite angle S is and angle that is 65 degrees, therefore angle S is 65 degrees
Which is the better deal?
A) The 18 oz
B) The 12 oz
C) They are the same price per ounce
Answer:
a
Step-by-step explanation:
because you get more than you do in choice b
6 workers can build a wall in 30 days. If after 6 days 3 more workers join, find the number of days to build the same wall?
The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.
How to use inverse proportionality to determine building time of a wallIn this question we must use the definition of inverse proportionality, in which the number of workers ([tex]n[/tex]), no unit, is inversely proportional to the building time ([tex]t[/tex]), in days.
According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:
[tex]x = 24\,days \times \frac{6}{9}[/tex]
[tex]x = 16\,days[/tex]
In this scenario, the wall can be built in 22 days. [tex]\blacksquare[/tex]
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how to divide 1080 by 9
Answer:
1080÷9=120
hope it helps!
Which expression is equivalent to 9 ( w + 8)?
72 w
9 w + 72
9 w + 8
17 w
Answer:
A) 72w
Step-by-step explanation:
can I get help with this please
Answer:
10d or less
Step-by-step explanation:
Joanne would want $50 left, and she has $250. 20 - 50 is 200. 20 goes into 100 5 times.
20 goes into 200 10 times. You just add five. (20, 40, 60, 80, 100)
If she wants at least $50 left, she would have to limit how many Dvd's she buys to 10 or less.
8. Higher Order Thinking Colby's dog gave birth to 6 puppies. Each puppy in the litter now has a mass of about 3 kilograms. About how much is the mass of the litter of puppies in kilograms? In grams? Remember: 1,000 grams = 1 kilogram.
Answer:
18 kilograms and 18000 grams
Step-by-step explanation:
the answer in kilograms is 18. the reason why is 6 puppies x 3 kilograms per = 18. Next we need to convert 18 kilograms to grams. 1 kilo = 1,000. multiply 18 x 1,000 = 18000 grams. Please let me know if this helped!!
the following set of coordinates represent which figure (1,1) (5,3) (7,7) (3,5)
rectangle
rhombus
parallelogram
square
Answer:
It should be a rhombus :)
Find the inverse of the function, no solutions doesn't work and things like sqrt(9-x^2) doesn't either.
Answer:
The range of [tex]f(x)[/tex] is [tex]f(x)\in[0,3][/tex]
[tex]f^{-1}(x)=-\sqrt{-x^2+9}[/tex] with a domain [tex]x\in[0,3][/tex]
Step-by-step explanation:
Domain: set of input values (x-values)
Range: set of output values (y-values)
Given function:
[tex]f(x)=\sqrt{9-x^2}\quad(x\in[-3,0])[/tex]
Therefore, as the original function has a restricted domain, its range is also restricted:
[tex]f(-3)=\sqrt{9-(-3)^2}=0[/tex]
[tex]f(0)=\sqrt{9-0}=3[/tex]
[tex]\therefore\textsf{Range}\:f(x)\in[0,3][/tex]
To determine the inverse of a function
Change [tex]x[/tex] to [tex]y[/tex]:
[tex]\implies x=\sqrt{9-y^2}[/tex]
Square both sides:
[tex]\implies x^2=9-y^2[/tex]
Switch sides:
[tex]\implies 9-y^2=x^2[/tex]
Subtract 9 from both sides:
[tex]\implies -y^2=x^2-9[/tex]
Divide both sides by -1:
[tex]\implies y^2=-x^2+9[/tex]
Therefore:
[tex]\implies y=\sqrt{-x^2+9}\textsf{ and }y=-\sqrt{-x^2+9}[/tex]
As the range of the inverse function is the same as the domain of the original function:
[tex]\implies f^{-1}(x)=-\sqrt{-x^2+9}[/tex] only as the range is [-3, 0]
The domain of the inverse function is the same as the range of the original function.
[tex]\therefore\textsf{Domain of}\:f^{-1}(x):x \in [0,3][/tex]
The inverse of a function is ordinarily the reflection of the original function in the line [tex]y=x[/tex].
**Please see attached graph**
10. Ryan inherited land from his grandfather. He decided to sell the land for $160,000, then place
the money in a new account that earns 1. 2% interest compounded bimonthly. How much
interest will he have earned after 30 years?
The amount of interest Ryan would earn at the end of 30 years given the interest rate is $69,250.27.
What is the interest rate on the new account?When an account earns an interest that is compounded bimonthly, it means that it earns an interest every 2 months.
The formula that can be used to determine the interest earned is:
Future value - amount deposited
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate = 1.2/6m = number of compoundingN = number of yearsFV = 160,000(1.002^180) = $229,250.27
Interest = $229,250.27 - $160,000 = $69,250.27
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Without drawing the graph, find the coordinates of its intersection with the
x - and y -axes.
y = −2.4x +9.6
The intersection with the x − axis is the point with coordinates ( _,_ ).
The intersection with the y − axis is the point with coordinates(_,_)
Answer:
at X axis, Y=0 and at Y axis, X=0
accordingly substitute the value in the equation and find coordinates
Answer:
The intersection with the x-axis is the point with coordinates (4, 0)
The intersection with the y-axis is the point with coordinates (0, 9.6)
Step-by-step explanation:
The line intercepts (crosses) the x-axis when y = 0.
Therefore, substitute y = 0 into the equation and solve for x:
⇒ −2.4x + 9.6 = 0
⇒ −2.4x = -9.6
⇒ x = -9.6 ÷ −2.4
⇒ x = 4
So, the intersection with the x-axis is the point with coordinates (4, 0)
The line intercepts (crosses) the y-axis when x = 0.
Therefore, substitute x = 0 into the equation and solve for y:
⇒ y = −2.4(0) + 9.6
⇒ y = 9.6
So, the intersection with the y-axis is the point with coordinates (0, 9.6)
A wooden block has a mass of 55 grams, correct to the nearest gram. A) Find the least possible mass of the wooden block. B) The volume of the wooden block is 19cm3, correct to the nearest cubic centimetre. Find the greatest possible mass of 1 cubic centimetre of the wood.
Answer:
A) 54.5g, B) 1.4g
Step-by-step explanation:
Find the lower bound of 55 and the upper bound of the cubed root of 1. the cubed root of 1 is 1 and the upper bound of that is 1.4
Please Help I Don't Understand. Thank You.
Answer:
Step-by-step explanation:
the glass forms a cylinder with a radius of 1.5 inches. the volume of the glass is approximately 45.95 cubic inches. what is the height of the drinking glass in inches? round your answer to the nearest tenth.
Answer:6.80
Step-by-step explanation:
Which of the following is an expression
A. 7x = 4
B. 7 = x = 4
C. 7 - x
D. 7n - 3 = 32
Answer:
D. 7n - 3 = 32 Because is contains the neccesary amount of variables needed to be considered as an expression.
Step-by-step explanation:
Hope this helps you! :D
Find yolanda’s finance charge in november using the previous balance method, the adjusted balance method, and the daily balance method. among those three possible finance charges, what is the value of the one which is neither lowest nor highest? a. $12.53 b. $11.59 c. $12.05 d. $10.91
Answer:
i believe its B
Step-by-step explanation:
Answer:
The Answer is B. $11.59
Step-by-step explanation:
Edge 2022
write these polynomials in standard form
1). 5x^2- 15+7
2.) 4 + 8n- 3n^4＋ 10n2
Answer:
1. [tex]5x^{2} - 8[/tex]
2. [tex]NaN-16[/tex]
Step-by-step explanation:
David’s family is driving from New York to Florida. They know the distance they will travel is about 1100 miles. If a map has a scale of 1 in. = 80 mi, about how far will the trip be on the map? StartFraction 8 over 110 EndFraction inches 11 inches 13 and three-fourths inches 88 inches.
Answer:
13 and three-fourths inches
Step-by-step explanation:
The map distance can be found using a proportion with the map scale.
__
map distance / (1100 mi) = (1 in) / (80 mi)
map distance = (1100×1)/80 in = 13 3/4 in . . . multiply by 1100 mi; cancel mi
The trip will be about 13 3/4 inches on the map.
1. Which transformation would take point A(5,-4) to A’(5,-4)
Answer:
that would be A. 360.
Step-by-step explanation:
when you think about it, a 360 is doing a full circle which is the only option here, because the point stays the same.
Measure of angle U . Help quick
Answer:
72 degrees
Step-by-step explanation:
all triangles have angles adding up to 180
that does not look like a right triangle
only possible answer is 72
Answer:
angle U = 72°
Step-by-step explanation:
The sum of the internal angles in a pentagon is 540°
[tex]x^{o} +(2x)^{o} +(2x)^{o} +90^{o}+90^{o} =540^{o}[/tex]
[tex](5x)^{o} =540^{o} -180^{o}[/tex]
[tex]x^{o} =\frac{360^{o} }{5} =72^{o}[/tex]
Hope this helps
To solve this equation for x, we must get x by itself. How would we do this?
X + 4 = 7
A. Add 4 to both sides.
B.Subtract 4 from both sides.
Answer:
B
Step-by-step explanation:
If you were to add 4 to both sides, you would have X + 8 = 11
But when you subract, you get X = 7-4, X = 3.
You have decided to purchase a car for $22,346. 16. The credit union requires a 10% down payment and will finance the balance with a 5. 4% annual interest loan for 36 months. The sales tax in your city is 7. 6%, and the license and title charges are $125. 13. Determine the amount that the credit union will finance you for. Round your answer to the nearest cent. A. $24,179. 10 c. $21,761. 20 b. $24,169. 60 d. $21,752. 64.
The amount that the credit union will finance is $24169.60
We have given that the cost of the car is $22,346. 16
and the credit union required 10% down payment
and sale tax=7.6%
The license and title charges are $125. 13.
We have to determine that the amount that the credit union will
finance Now we have sale tax 7.6% for $22,346. 16
Therefore, we get
[tex]\frac{7.6}{100} \times 22,346. 16=1698.31[/tex]
What is the amount that the credit union finance ?credit union finance=cost of car+sales tax+the license and title charges.
[tex]=22346.16+1698.31+12.13\\=24169.60[/tex]
Therefore, the amount that the credit union will finance is $24169.60
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find the area of the trapezoid
Answer:
the answer is 8
Step-by-step explanation:
it is 8 because if you 2x2 = 4 then + 4 more equal 8. ( or just count the area )
Xavier has 25% off coupon for Tool depot if he buys a cordless drill that normally cost 200 what will be the amount of the discount in dollars.
the discount will be 200 x 25% = 50
he will pay 150 for the cordless drill finally
Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8
. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
(-5 -10 -32 ) • (4 - 8 - 16) =
Can someone help me please