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BlackZzzverrR [31]

2 years ago

9

You invest $6.500 into a mutual fund that is expected to earn 6% per year. How long will it take the fund to earn $13,000?

1 answer:

Vesna [10]2 years ago

3 0

Y= $6.500(1.06)^x

13000= $6.500(1.06)^x
2000=(1.06)^x

log 2000 = x log 1.06
x= log 2000/ log 1.06
130 years

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Can you help me with my math questions

GrogVix [38]

$p^2+2(7)p+7^2=(p+7)^2$

Justification:

Given: $p^2+14p+49$

Split the middle term;

$=p^2+7p+7p+49$

Factor:

$=p(p+7)+7(p+7)$

$=(p+7)(p+7)$

$=(p+7)^2$

QUESTION 3a

The given expression for the area of the rectangle is $36x^2-12x+1$ .

This is equal to the indicated area which is $289\;in^2$

This implies that

$36x^2-12x+1=289$

$\Rightarrow (6x-1)^2=289$

$\Rightarrow (6x-1)(6x-1)=289$

$\Rightarrow l=(6x-1),w=(6x-1)$

This implies that, the dimensions of the rectangle are equal;

Using the square root method, we obtain

$\Rightarrow (6x-1)=\pm \sqrt{289}$

$\Rightarrow (6x-1)=\pm 17$

$\Rightarrow 6x=1\pm 17$

$\Rightarrow 6x=18 \:or\:6x=-16$

$\Rightarrow x=3 \:or\:x=-\frac{2}{3}$

We discard the negative value.

The side length of this rectangle is

$\Rightarrow l=(6(3)-1)=17,w=6(3)-1=17$

QUESTION 3b

The given expression for the area of the rectangle is $25x^2-50x+25$ .

This is equal to the indicated area which is $1225\;in^2$

This implies that

$25x^2-50x+25=1225$

$25(x^2-2x+1)=1225$

$(5(x-1))^2=35^2$

$5(x-1)5(x-1)=49$

$\Rightarrow l=5(x-1),w=5(x-1)$

This implies that, the dimensions of the rectangle are equal;

Using the square root method, we obtain

$\Rightarrow 5(x-1)=\pm \sqrt{1225}$

$\Rightarrow 5(x-1)=\pm 35$

$\Rightarrow x=1\pm 7$

$\Rightarrow x=8 \:or\:x=-6$

We discard the negative value.

The side length of this rectangle is

$\Rightarrow l=5(8-1)=35,w=5(8-1)=35$

QUESTION 3c

The given expression for the area of the rectangle is $49x^2-56x+16$ .

This is equal to the indicated area which is $289\;in^2$

This implies that

$49x^2-56x+16=289$

$(7x-4)^2=289$

$(7x-4)(7x-4)=289$

$\Rightarrow l=(7x-4),w=(7x-4)$

Applying the laws of indices gives;

$(7x-4)^2=17^2$

This implies that;

$7x-4=17$

$7x=21$

$x=3in.$

The side length of this rectangle is

$\Rightarrow l=7(3)-4=17\:in.,w=7(3)-4=17\:in.$

Dont forget that the square is also a rectangle.

5 0

2 years ago

Read 2 more answers

How do I get the answer for 1 1/2 x 3 x 1 1/9

Mekhanik [1.2K]

$\boxed{1 \frac{1}{2}\times 3 \times 1 \frac{1}{9}=5}$

<h2>Explanation:</h2>

in this problem we have the following expression:

$1 \frac{1}{2}\times 3 \times 1 \frac{1}{9}$

So here:

$1 \frac{1}{2} \ and \ 1 \frac{1}{9} \ are \ written \ as \ mixed \ fractions$

Let's convert them as improper fractions:

$1 \frac{1}{2}=1+\frac{1}{2}=\frac{1\times 2+1}{2}=\frac{3}{2} \\ \\ 1 \frac{1}{9}=1+\frac{1}{9}=\frac{1\times9 +1}{9}=\frac{10}{9}$

Rewriting our expression:

$\frac{3}{2}\times 3 \times \frac{10}{9}=\frac{3\times 3 \times 10}{2\times 9}=\frac{90}{18}=5$

<h2>Learn more:</h2>

Simplify: brainly.com/question/10644722

#LearnWithBrainly

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The sum of a number and 6 is 8 more than twice the number. Find the equation that could be used to find this number .

Reil [10]

The correct answer is D

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3 years ago

What is the equation parallel to 4y-3x=8

Andreyy89

Answer:

Whatever option has a slope of 3/4 and isn't y = 3/4x + 2

Step-by-step explanation:

This means that it has to have a slope of 3/4 (written as 3/4x + b). This is because parallel lines have the same slope; rearranging the first equation gets us y = 3/4x + 2. So, our slope for a parallel line has to be 3/4.

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Write 2^40 as an exponent with a base of: a 2^2; b 2^5; c 2^8; 2^10

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

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