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DedPeter [7]
2 years ago
14

Buying a $36,000 new hybrid SUV with $3000 paid up front and the rest borrowed at 4.2%

Mathematics
1 answer:
Studentka2010 [4]2 years ago
3 0

From the calculations, the total amount paid for the SUV is $43,708.

<h3>What is compound interest?</h3>

The term compound interest has to do with an interest that is charged in both the principal and the interest.

In this case, the amount that was borrowed is  $36,000 - $3000 = $33,000. Using the formula;

A = P(1 + r/n)^nt

P =  $33,000

r = 4.2%

n = 52

t = 5 years

A = 33,000(1 + 0.042/52)^(52 * 5)

A = $40,708

Total amount paid = $40,708 + $3000 = $43,708

Learn more about compound interest:brainly.com/question/14295570?

#SPJ1

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Mama L [17]
28:35
Those are divisible by 7 so divide both sides by seven
the answer is 4:5
3 0
3 years ago
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Solve the equation. Round to the nearest thousandth. -12e-x + 8 = 7​
Marysya12 [62]

Answer:

-12e-x + 8 = 7

-12e-x = 7-8

-12e-x = -1

12e-x = 1

e-x = 1/12

ln(e-x) = ln(1/12)

x = -ln(1/12)

x = -2.485

7 0
3 years ago
This is my my second to <br>last one, thanks for helping me
icang [17]

9514 1404 393

Answer:

  • $9
  • Option 4

Step-by-step explanation:

The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.

  1 cherry and 7 sweet potato for $114   ⇒   C +7S = 114

  14 sweet potato and 11 cherry for $309   ⇒   11C +14S = 309

Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.

These equations match Option 4.

__

The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:

  (11C +14S) -2(C +7S) = (309) -2(114)

  9C = 81 . . . . . simplify

  C = 9 . . . . . . . divide by 9

The cost of each cherry pie is $9.

3 0
3 years ago
A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de
gregori [183]

a= μ-3.16*σ , b= μ+3.16*σ if each fish caught is equally likely to be any one of these 4 distinct types.

<h3>What is meant by Chebyshev inequality?</h3>

Chebyshev's inequality is a probability theory that ensures that, over a vast range of probability distributions, no more than a particular proportion of values would be present within a selected limits or range as from mean. In other words, only a certain fish caught will be discovered within a given range of the distribution's mean.

The formula for which no more than a particular number of values can exceed is 1/K2; in other words, 1/K2 of a distribution's values can be more than or equal to K standard deviations away from the distribution's mean. Furthermore, it asserts that 1-(1/K2) of a distribution's values must be within, but not include, K standard deviations of the distribution's mean.

How to solve?

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90  →  1- σ²/(σ²+λ²)=  1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

In order to learn more about Chebyshev inequality, visit:

brainly.com/question/24971067

#SPJ4

4 0
1 year ago
Jules has 1200 and is spending 40 per week. kelsey has 400 and is saving 50 a week. in how many weeks, will jules and kelsey hav
expeople1 [14]
After x weeks:
Jules will have: 1,200 + 40 x.
Kelsey will have: 400 + 50 x.
If we want to know in how many weeks will they have the same amount of money, we will make an equation:
400 + 50 x = 1,200 + 40 x
50 x - 40 x = 1,200 - 400
10 x = 800
x = 800 : 10
x = 80
Answer: In 80 weeks they will have the same amount of money.
4 0
3 years ago
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