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Keith_Richards [23]
3 years ago
13

Can someone explain this to me?

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Answer:

x=2

Step-by-step explanation:

Sense this is an isosceles trapezoid (side lengths are congruent) opposite angles (85 and 44x+7) are supplementary (add up to 180 degrees).

<u>85</u>+44x+<u>7</u>=180

<em>Combine like terms.</em>

44x<u>+92</u>=180

<em>Do inverse operations (First, Subtract 92 from each side of the equation.)</em>

<u>44</u>x=88

<em>Then, divide 44 from both sides to solve for x.</em>

x=2

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Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun
tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

<em>Use the formula to calculate compound interest</em>:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can <u>combine the formulas</u> into:

A = P(1+\frac{r}{c})^{tc}

"c" is the compounding periods in a year. (quarterly = 4)

<u>We know</u>:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

<u>Substitute the information in the formula</u>.

A = P(1+\frac{r}{c})^{tc}

A = 8000(1+\frac{0.1}{4})^{15*4}      Solve "i" and "n"

A = 8000(1+0.025)^{60}        Solve inside the brackets

A = 8000(1.025)^{60}         Do the exponent before multiplying by 8000

A = 35198.318             Exact answer

A ≈ 35198.32              Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0
3 years ago
Nabfar it wouldn’t let me type in the other question! Hope you see this!!!!
Nikitich [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
A dad spends the same amount of time each week helping with homework. In 6 weeks, he spends 132 minutes. Write an equation that
pentagon [3]

Answer: f(x) = 22x

Step-by-step explanation:

1.) Divide 132 by 6 weeks, to get the amount of time spent each week on homework.

<em>132 / 6 = 22</em>

2.) Create the equation. Because x represents the number of weeks and 22 minutes a week is spent on homework, the equation is as follows:

f(x) = 22x

7 0
3 years ago
Kenneth's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 63 caffeinated
UNO [17]

Answer:

90%

90% of the teas were caffeinated.

Step-by-step explanation:

Total teas: 63+7= 70

63/70 x 100/1= 90%

90% of the teas were caffeinated.

4 0
3 years ago
Janice is 4 inches shorter than David, and David is 2 inches shorter than Evan. If Evan is 13 inches taller than Kathleen and Ka
Sergeeva-Olga [200]

Answer: Janice is 1 inch taller than Krysta.

Step-by-step explanation:

Let the height of Krysta denoted by h .

According to the given statements , we will write height of each person in terms of 'h'.

 Kathleen is 6 inches shorter than Krysta.

i.e. Height of Kathleen = h-6

Evan is 13 inches taller than Kathleen.

i.e. Height of Evan = (h-6)+13=h-6+13=h+7

i.e. Height of Evan =h+7

David is 2 inches shorter than Evan.

i.e. Height of David = (h+7)-2  =h+7-2

Height of David =h+5

Janice is 4 inches shorter than David.

i.e. Height of Janice= (h+5)-4=h+1

i.e. height of Janice = height of Krysta+  1 inch  [∵ h= height of Krysta]

⇒ Janice is 1 inch taller than Krysta.

7 0
4 years ago
Read 2 more answers
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