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Dima020 [189]
3 years ago
9

5x+7/2=3/2x-14 solve this

Mathematics
1 answer:
Alchen [17]3 years ago
3 0
X=-2

You can also check by plugging -2 in for x. Here is a picture. Please notify me if I made an error!

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Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 10 percent simple interest per year.
Nostrana [21]

Answer:

<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>

Step-by-step explanation:

       Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.

       She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by x. Lower yielding bank account will have 2x.

       Interest\text{ }per\text{ }year=Principal\times Interest\text{ }rate

Interest from lower yielding bank = \dfrac{4}{100} \times 2x=\dfrac{8x}{100}

Interest from higher yielding bank = \dfrac{10}{100} \times x=\dfrac{10x}{100}

Total Interest per year = $ 3996 = \dfrac{8x}{100} +\dfrac{10x}{100}=\dfrac{18x}{100}

x=22200 \$

∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.

4 0
3 years ago
find the length of the long diagonal of a rhombus when it's area of 24 square centimeters and it's short diagonal is 4 centimete
Ivahew [28]

Answer:

12

Step-by-step explanation:

A rhombus is a parallelogram with all four sides equal.

Its diagonals are perpendicular.

Each of the triangles formed by the diagonals and the sides are congruent, so the area of the rhombus is 4 times the area of one of the triangles.

Since the short diagonal is given as 4, each of the triangles can be viewed as having a base of 2.  Each triangle's height, h, then is one half the length of the long diagonal.

The are of one of the triangles is 1/2 (base)(height)=(1/2)(2)h

The area of the rhombus is then

4(1/2)(2)h=24

Solving for h gives

h=6

This makes the length of the long diagonal 2h=12

6 0
3 years ago
what is the highest number in the world and what is the lowest number in the world explain your answer
artcher [175]
Positive infinity and negative infinity 

5 0
3 years ago
Jackson earned 22 out of 25 points on a class project. Determine the percentage grade that he earned by setting up an equivalent
svlad2 [7]

Answer:

it would be a 85 percent

Step-by-step explanation:

5 0
2 years ago
Please help and show working (please)
Alexxandr [17]

In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.

a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77

b. ∑f^{2} means to sum all elements in the set f as the square of the elements f = 5^{2} + 9^{2} + 10^{2} + 16^{2} = 25 + 81 + 100 + 256 = 462

c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (20(12^{2}(5)) + (15^{2}(9)) + (20^{2}(10)) + (30^{2}(16)) = 2114510) + (30×16) = 875

d. ∑m^{2}f means to sum all elements as the product of the square of m and f = ((12*12)(5)) + ((15*15)(9)) + ((20*20)(10)) + ((30*30)(16)) = 21145

4 0
2 years ago
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