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Ksenya-84 [330]

3 years ago

9

Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest r

ate of 6.5% how much will he have in 15 months? Assume that the compunding is being done monthly.

1 answer:

satela [25.4K]3 years ago

6 0

You will have $1118.25 in 15 mouth

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Evaluate 9(x + 5y) for x = 2 and y = 5.

Orlov [11]

Answer:

243

Step-by-step explanation:

STEP 1: Evaluate the variables

9(2 + (5)(5))

STEP 2: Then from there you can multiply the equation

18 + 225 = 243

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3 years ago

What is the meaning of 7.00 in this equation?

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Answer:

Step-by-step explanation:

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2 years ago

Christine received a $70 gift card for a coffee store. She used it in buying some coffee that cost $7.52 per pound. After buying

Sonbull [250]

Answer:

3

Step-by-step explanation:

take 70 and subtract the amount left, which is $22.56 divide that by 7.52 and you get your answer of 3

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3 years ago

A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner

algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

$V=x(216-24x-36x+4x^{2})$

$V=x(4x^{2}-60x+216)$

$V=4x^{3}-60x^{2}+216x$

So now we can find the derivative of the volume:

$V'=12x^{2}-120x+216$

and set it equal to zero, so we get:

$12x^{2}-120x+216=0$

and now we can solve. We can start by factoring the left side of the equation, so we get:

$12(x^{2}-10x+18)=0$

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

$x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}$

so we substitute the corresponding values:

$x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}$

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0

3 years ago

If you were to graph 1.14, 1.15, and 0.5. what would you count by on your number line?

GREYUIT [131]

If you want to include 0, the overall interval is 115 times 0.01, or 23 times 0.05 or 11.5 times 0.10. The latter might make it harder to plot 1.14, so I'd probably use an interval of 0.05.

Between 6 or 7 and about 25 intervals on a graph's scale are about right. More makes it pretty busy and sometimes difficult to tell which mark is associated with the number. A fewer number is indicated only if there are a fewer number of discrete values that need to be shown to adequately identify the data points.

6 0

3 years ago