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3 years ago

12(5x+10x^2)=480+60x (^ = exponents)(show work)

Mathematics

2 answers:

Dima020 [189]3 years ago

4 0

x=−2 is the aswer to this problem i was wrong before

blagie [28]3 years ago

4 0

X=2 or X=-2 is the answer

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mitzi has a rectangular swimming pool. she fills it with water to a depth of 5 feet. the water has a volume of 1200 cubic feet.

ANTONII [103]

To figure out the size of a rectangle that would represent the swimming pool, you will use the formula for volume of a rectangle or prism to solve for the area of the base.

V = Bh
1200 = 5B
B = 240 square feet

To get an area of 240 ft.², you could use the dimensions 10' x 24'. Another possibility would be 8' x 30'.

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3 years ago

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Carl. put $1.10 in his piggy bank every day in the month of July. His total savings was $55 at the end of June. hat is the best

Crank

Carl would have around $90 at the end of July

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3 years ago

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If you have $11 and you spend $7 on a sandwich, drink, and chips, what fraction of your money did you spend?

larisa86 [58]

Answer:

Step-by-step explanation:

u had 11 and u spent 7

7/11 <=== the fraction of money u spent is 7 out of 11

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3 years ago

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A camper wants to know the width of a river. From point A, he walks downstream 60 feet to point B and sights a canoe across the

Anarel [89]

<h2>Hello!</h2>

The answer is:

The correct option is:

D. 40 feet.

To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:

$Tan\alpha =\frac{Opposite}{Adjacent}$

Where,

alpha is the given angle, 34°

Adjacent is the distance from A to B, which is equal to 60 feet.

Opposite is the distance from A to C which is also equal to the width of the river.

So, substituting and calculating we have:

$Tan(34\°) =\frac{Width}{60ft}$

$Width=60ft*Tan(34\°)=60ft*0.67=40.2ft=40ft$

Hence, we have that the correct option is:

D. 40 feet.

Have a nice day!

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3 years ago

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Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year

Anna35 [415]

Given:

• Amount to save, A = $28,000

• Time, t = 6 years

• Interest rate, r = 5.3% ==> 0.053

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

$FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

$28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}$

Let's solve for P.

We have:

$\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\ \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\ \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\ \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}$

Solving further:

$28000=P(28.0384237)$

Divide both sides by 28.0384237:

$\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\ \\ 998.6=P \\ \\ P=998.6 \end{gathered}$

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

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1 year ago