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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.
Mathematics
1 answer:
satela [25.4K]3 years ago
6 0
You will have $1118.25 in 15 mouth
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In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large
Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The probability distribution is:</em>

<em>x   P(x) </em>

<em> 0   0.30 </em>

<em>1    0.40 </em>

<em>2   0.20 </em>

<em>3   0.06 </em>

<em>4   0.04</em>

The mean can be calculated as:

M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04

3 0
3 years ago
Cheryl is planning to go to a four-year college in two years. She develops a monthly savings plan using the estimates shown. Wha
Alik [6]

Answer:

$541.67 per month

Step-by-step explanation:

Tuition and other expenses = $8,250 per semester.

There are two semesters in a year

She has 4 years to spend

Total semester=4years*2semesters

=8 semesters

4 years in college which is a total of 8 semesters.

Total Tuition and other expenses = $8,250 * 8

= $66,000

She needs a total of $66,00 to complete her college

Assistance from parents=$15,000

Financial aid(per semester)=$4750

Total financial aid=$38,000

Total assistance=

Assistance from parents+ financial aid

=$15000+$38,000

=$53,000

Total savings=Total amount needed - Total assistance

=$66,000 - $53,000

=$13,000

She needs to save $13,000 in two years

There are 12 months in one year

2 years=2*12=24 months

Monthly savings=Total savings/24 months

=$13,000/24

=$541.666666

To the nearest cent

=$541.67

3 0
3 years ago
Write the first four terms of a sequence given the recursive rule below: f (n) = f(n-1) -4, for all n &gt; 2 and f(1) =32
Mars2501 [29]
I don’t know I just want points bye hdhdjjdjddjdjdjjjfjtfjgktk
7 0
3 years ago
Simplify 3/4(1/2×-12)+4/5​
Wittaler [7]

Answer: \frac{3}{8}x-\frac{41}{5} or  \frac{3}{8}x-8\ \frac{1}{5}

Step-by-step explanation:

Given the following expression:

\frac{3}{4}(\frac{1}{2}x-12)+\frac{4}{5}

You can follow these steps in order to simplify it:

1.  You need to apply Distributive property:

=\frac{3}{8}x-9+\frac{4}{5}

2. And now you must add the like terms. Then:

=\frac{3}{8}x-\frac{41}{5}

Therefore you get the following answer:

\frac{3}{8}x-\frac{41}{5} or  \frac{3}{8}x-8\ \frac{1}{5}

7 0
3 years ago
Mr. Barresi is ordering pizzas for a team party. He knows that 7 pizzas will feed 25 students. If 300 students are attending the
liubo4ka [24]
Divide 300 by 25 and multiply with 7.

300/25 x 7 = X
7 0
3 years ago
Read 2 more answers
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