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anyanavicka [17]
2 years ago
7

Question 3 of 10 What is the solution to this equation? 4(x-8) + 10 = -10 O A. x= 3 OB. x = 5 O c. x=2 O D. x= 4​

Mathematics
1 answer:
krek1111 [17]2 years ago
5 0

Answer:

O A. x = 3

Step-by-step explanation:

4(x - 8) + 10 = -10

4x - 32 + 10 = -10

4x = 12

x = 3

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c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
3 years ago
2(2x+3)=3(3x+1)<br> Duýdhdhdjjdjdjđm
Vlada [557]

Answer:

12

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
Evaluate. 46−[(9+15÷5)×3]
mojhsa [17]

Answer:

10

Step-by-step explanation:

46 - [(9 + 15 ÷ 5) × 3]

~We can simplify everythingusing PEMDAS

46 - [(9 + 3) × 3]

46 - [(12) × 3]

46 - 36

10

Best of Luck!

6 0
3 years ago
Read 2 more answers
Segment addition with variables
oksian1 [2.3K]

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

\overline{AB}=\overline{AC}+\overline{CB}

____________________________________________

From the figure:

\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40

Our goal is to find x:

\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}

<h2>Learn more:</h2>

Dilation: brainly.com/question/2501119

#LearnWithBrainly

4 0
2 years ago
The graph of y= (x - 2)(x + 4) is shown. What is the y-intercept of this graph?
LenKa [72]

Answer:

The y intercept in -8

Step-by-step explanation:

6 0
3 years ago
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