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3 years ago

5. One Saturday, you want to put in 3 volunteer hours at the food bank. You need to be the for dinner

Mathematics

1 answer:

nataly862011 [7]3 years ago

6 0

Answer:

let's work this out backwards

6:00-10 minutes to get home

5:50-3 hours spent volunteering

2:50-30 minutes to get to food bank

2:20

You need to leave for the food bank at the latest 2:20.

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A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

zaharov [31]

After 6 years the investment is $5555.88

Step-by-step explanation:

A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

The formula used to find future value is:

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

where A(t) = Accumulated amount

P = Principal Amount

r = annual rate

t= time

n= compounding periods per year

We are given:

P = $3600

r = 7.5 %

t = 6

n = 1

Putting values in formula:

$A(t)=P(1+\frac{r}{n})^{nt}\\A(t)=3600(1+\frac{0.075}{1})^{6*1}\\A(t)=3600(\frac{1.075}{1})^6\\A(t)=3600(1.075)^6\\A(t)=3600(1.543)\\A(t)=5555.88$

So, After 6 years the investment is $5555.88

Keywords: Compound Interest formula

Learn more about Compound Interest formula at:

#learnwithBrainly

8 0

3 years ago

A new section of the freeway will be 6 3/5 miles long. So far 1/6 of the new section has been completed. How many more miles mus

saveliy_v [14]

Divide 1/16 by 3/5 and you get .104 we can check by multiplying our answer by 3/5 and we get 1/16

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3 years ago

Solve similar triangles (advanced)

atroni [7]

Answer:

Step-by-step explanation:

The corresponding sides of similar Δs are proportional.

ΔADE ~ ΔABC ⇒ $\frac{AD}{AB}$ = $\frac{DE}{BC}$ = $\frac{AE}{AC}$

AD = x + 8 ; DE = 8

AB = x ; BC = 6

$\frac{x+8}{x}$ = $\frac{8}{6}$ ⇔ 8x = 6(x + 8) ⇒ <em>x = 24</em>

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2 years ago

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What is 1 1/9 plus 3 5/8

Daniel [21]

I think the answer should be 4.7 but rounded up would be 5

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2 years ago

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Adam and Tom share a sum of money in the ratio 18:17

Digiron [165]

x = total amount split between Adam and Tom.

since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

$\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5$

$\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft$

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2 years ago