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3 years ago

A boat can travel 105 miles on 15 gallons of gasoline. How much gasoline will it need to go 140 miles?

2 answers:

7 0

20 gallons
First you have to find the ratio or unit rate so 105/15= 140/x x is the gasoline needed so when you cross multiply you get 2100/105x divide both sides by x and you get 20

Mrac [35]3 years ago

4 0

Answer:

20 gallons

Step-by-step explanation:

105/15=7

7*20=140

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You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon

sergejj [24]

Answer:

$13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

$1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

A = P(r/12)/(1 -(1 +r/12)^(-12n))

= $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0

4 years ago

the function y=-2(x-3)^2+4 shows the daily profit of a hot dog stand, where x is the price of a hot dog where x is the price of

Nataly [62]

Step-by-step explanation:

the answer is in the image above

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5 0

3 years ago

There are 128 flavors at an ice cream shop. If a company orders 75 scoops of each flavor, how many scoops of ice cream would the

Y_Kistochka [10]

Hope this answer helps you! :)

5 0

3 years ago

3e≤6 a e=1 b e=2 c e=3

lesya [120]

A and b are both accurate

For a:
$3(1) \leqslant 6 = 3 \leqslant 6$
which is true

For b:
$3(2) \leqslant 6 = 6 \leqslant 6$
which is also true

7 0

4 years ago

g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.