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3 years ago

1. Calvin goes shopping over the weekend and buys a new pair of shoes, a t-shirt, a pair of

Mathematics

1 answer:

Alja [10]3 years ago

7 0

A. 2s+s+1/2s+9=65
B. 3.5s+9=65
C. Subtract 9 from both sides to get: 3.5s=56 and then divide both sides by 3.5 to get s (the cost of the shirt) which is s=16
D. Shoes cost $32, shirt costs $16, and the sunglasses cost $8

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The right expression to calculate how much money will be in an investment account 14 years from now if you deposit $5,000 now an

Svet_ta [14]

Answer:

The expression to compute the amount in the investment account after 14 years is: FV = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

Step-by-step explanation:

The formula to compute the future value is:

$FV=PV[1+\frac{r}{100}]^{n}$

PV = Present value

r = interest rate

n = number of periods.

It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.

The expression to compute the amount in the investment account after 14 years is,

$FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}$

The future value is:

$FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}\\=18987.50+6430.77\\=25418.27$

Thus, the expression to compute the amount in the investment account after 14 years is: FV = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

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3 years ago

Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3

Ilia_Sergeevich [38]

|x - 45| = 3; minimum angle: 42 degrees

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3 years ago

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You received a $178 per month raise. That was a 5% increase. What was your monthly salary before the increase? Show work please

zzz [600]

Answer: 169.52

Step-by-step explanation

%increase which is 5% =100 x final - initial

---------------------

initial

the initial is $169.52

and the final $178

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2 years ago

a shipping company makes a display to show how many cubes can fit into a large box. each cube has a side of 2 inches. the large

ehidna [41]

1 The volume of the cube is 2 * 2 * 2 or 2 ^ 3 in ^ 3 while the volume of the large box is 10 * 10 * 10 or 10 ^ 3 in ^ 3.

2 The answer is 125. Just divide the large box to the volume of the cube 1000 / 8 = 125.

3 The box will hold the same number of balls as small boxes. With the balls, there is empty space.

4 The answer is still 125. Just find the volume of the box and of the cube. Divide the box volume by the cube volume.

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3 years ago

Solve the equation for a w=7a+4b

Murljashka [212]

W=7a+4b
w-4b = 7a
$a= \frac{w-4b}{7}$

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3 years ago