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lubasha [3.4K]
2 years ago
6

Cassidy deposited $500 into a money market account that paid 7% interest compounded monthly. How much did she have to the neares

t cent when she turned 30? (She is 16 now).
Mathematics
1 answer:
Vesna [10]2 years ago
4 0
Cash deposited = P = $500
Interest rate = r = 7% = 0.07
Compounding Frequency = n = 12
Time = t = 30 - 16 = 14 years
Amount accumulated = A = ?

Formula to be used:

A=P(1+ \frac{r}{n})^{nt}

Using the values, we get:

A=500(1+ \frac{0.07}{12})^{12*14} =1328.44

This means, $1328.44 will be her balance at the age of 30.
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5 0
2 years ago
PLEASE HELP 25PT
Bess [88]
Hi


1.If Mrs.Walters drives 360 miles on 25 gallons of gas , she drives 14.4 miles on 1 gallon of gas .

Work; I made a proportion , but you can just divide 360 and 25 .
 x=14.4 miles

If Mr.Walters drives 480 miles on 32 gallons of gas , he drives 15.06 miles on 1 gallon of gas .
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Hope it helps and have a wonderful day.
7 0
3 years ago
The pyramid has a volume of 972 cubic inches. What are the dimensions?
sineoko [7]
Base Length: 12
Base Width:   5
Pyramid Height: 48.6
5 0
3 years ago
Quadrilateral $abcd$ is a trapezoid with $ab$ parallel to $cd$. we know $ab = 20$ and $cd = 12$. what is the ratio of the area o
alekssr [168]
Draw a diagram to illustrate the problem as shown below.

The area of triangle acb is
A₁ = (1/2)*20*h = 10h

The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h

The ratio A₁/A₂ is
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Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.

4 0
3 years ago
Exact value of cos45
Anit [1.1K]

It's a value you should probably memorize:

\cos45^\circ=\dfrac{\sqrt2}2=\dfrac1{\sqrt2}

You can derive it using some trigonometric identities, other known values of cosine, and properties of the cosine function. For example, using the double angle identity for cosine:

\cos^2x=\dfrac{1+\cos2x}2

If x=45^\circ, then

\cos^245^\circ=\dfrac{1+\cos90^\circ}2

and you probably know that \cos90^\circ=0, so

\cos^245^\circ=\dfrac12

When we take the square root, we should take the positive root because \cos x>0 whenever 0^\circ:

\cos45^\circ=+\sqrt{\dfrac12}\implies\cos45^\circ=\dfrac1{\sqrt2}

4 0
3 years ago
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