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Dmitrij [34]
2 years ago
9

In january, desmond begins saving $25 per month for a used car. each month, he is able to save $5 more than the previous month.

after how many months will desmond first have enough money to purchase a $3,000 used car? 14 21 31 35
Mathematics
1 answer:
Hatshy [7]2 years ago
3 0

Answer:

After 31 months, Desmond first have enough money to purchase a used car.

Step-by-step explanation:

Since we have given that

Saving per month for a used car = $25

Each month he is able to save = $5 more than the previous month

If we have $3000 to purchase a used car.

So, we need to find the number of months Desmond to have enough money.

Our sequence will be

25,30,35,..............3000

So, it becomes,

Months can't be negative, So,

n = 31 months.

Hence, After 31 months, Desmond first have enough money to purchase a used car.

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The volume of a sphere is 972(pi)ft3.
pav-90 [236]

Here are some simple equations that can be a life saver with this stuff :

vol of a sphere =

v = \frac{3}{4} \pi \: {r}^{3}

Circumference =

2 \times \pi \times r

sorry this might not be very helpful. I haven't don't this since last year. You basically have to work backwards. so plug in 972 for V and then do (3/4)×3.14.

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7 0
3 years ago
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Kaylis [27]

Answer:

A bit of a doosy, but bare with me: f*g*h(x) = x^2+54x-12x\sqrt{x} -108\sqrt{x} +90

Step-by-step explanation:

So explaining this is a bit awkward as well, but I can try...So

Starting from g(x) working that backwards into f(x), so...

g(x) = x-3

f(x) = (x^4+9)

Take your g(x) and plug it into your f(x) into every x you see

f(g(x)) = (x-3)^4+9 ~ I hope you can visualize this, but do you see how g(x) plugs into f(x)...

Now you still have one more step which you still need to include h(x), so

Remember h(x) = \sqrt{x}

Now plug in your h(x) into every x you see from f(g(x)) and it should look like...

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3 0
2 years ago
Lisa is in charge of planning a reception for 3600 people. She is trying to decide which snacks to buy. She has asked a random s
Olenka [21]

Answer:

The expected number of the people at the reception whose favorite snack will be chips is 1152

Step-by-step explanation:

Given

The data in the above table and

Reception = 3600

Required

Predict the number of the people at the reception whose favorite snack will be chips.

The first step is to determine the total number of samples;

Total = Brownies + Cookies + Chips + Other

Total = 32 + 22 + 56 + 65

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The next step is to determine the fraction of people whose favorite is chips

Fraction = \frac{Chips}{Total}

Fraction = \frac{56}{175}

The product of the above fraction and the expected number of people in the reception is the solution to this question;

Expected\ Number = \frac{56}{175} * 3600

Expected\ Number = \frac{56* 3600}{175}

Expected\ Number = \frac{201600}{175}

Expected\ Number = 1152

<em>Hence, the expected number of the people at the reception whose favorite snack will be chips is 1152</em>

5 0
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