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3 years ago

How many gallons of punch will sadie make?

Mathematics

1 answer:

antoniya [11.8K]3 years ago

5 0

She will make 20,000000. Gallons a punch.

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Aaron rides his bike 12 miles in 3 hours. If he rides at a constant speed, select the answers below that are equivalent ratios t

Charra [1.4K]

The answer is “A” just divide 3 by 12

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3 years ago

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10×+2=7 what is equal to 2x?

lakkis [162]

$x in (-oo:+oo)

2/7 = 2*x // - 2*x

2/7-(2*x) = 0

2/7-2*x = 0

2/7-2*x = 0 // - 2/7

-2*x = -2/7 // : -2

x = -2/7/(-2)

x = 1/7

x = 1/7$

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2 years ago

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Greatest measure of length. 30,000 millimeters 500 meters 1 kilometer or 6000 centimeters

Ne4ueva [31]

1 kilometer = 1000 meters

This is the greatest length

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3 years ago

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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account

Studentka2010 [4]

The formula for compound interest is:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}$

Given data:

$\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}$

a. After ten years, that is t = 10 years, the amount in the account will be

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}$

b. After twenty years, that is t = 20 years, the amount in the account will be:

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}$

c. The time it takes for Harry's initial account value to double will be:

$\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}$

Therefore, the time it takes Harry's initial account to double is approximately 11 years

8 0

1 year ago

Find three consecutive odd integers so that the product of the second and third integer is 63

Doss [256]

<span>product of the second and third integer is 63
63=3*3*7
or
63=7*9 These are two consecutive integers.
We need three integers and the first one is missing so the solution:
5-7-9

</span>

4 0

3 years ago