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Maslowich
3 years ago
14

Need help!!!!!!! Please help solve solution!

Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

Answer:

x=65

Step-by-step explanation:

Step 1: Add -3 to both sides.

√x−1+3+−3=11+−3

√x−1=8

Step 2: Solve Square Root.

√x−1=8

x−1=82(Square both sides)

x−1=64

x−1+1=64+1(Add 1 to both sides)

x=65

Check answers. (Plug them in to make sure they work.)

x=65(Works in original equation)

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$ 159,744.59 will be in the account after 20 years.

Answer: Option A

<u>Step-by-step explanation:</u>

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

          \text {Future value}=p \times\left(\frac{\left(1+\frac{r}{n}\right)^{n t}-1}{\frac{r}{n}}\right)

Here  

p : amount deposit monthly =$500

r : rate of interest  = \frac{2.75}{100} = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

    \text { Future value }=500 \times\left(\frac{\left(1+\frac{0.0275}{12}\right)^{240}-1}{\frac{0.0275}{12}}\right)

    \text {Future value}=500 \times\left(\frac{(1+0.002291)^{240}-1}{0.002291}\right)=500 \times\left(\frac{(1.732)-1}{0.002291}\right)

   \text { Future value }=500 \times\left(\frac{0.732}{0.002291}\right)=500 \times 319.511=\$ 159,744.99

3 0
3 years ago
Find the area of the shaded regions.
vlada-n [284]

Answer: 27\pi \text{ cm}^{2}

Step-by-step explanation:

The area of the entire circle is (\pi)(6^{2})=36\pi

The area of the sector with the right angle is \frac{36\pi}{4}=9\pi

Subtracting these areas, we get 27\pi \text{ cm}^{2}

5 0
2 years ago
Pleasee help i will love u if you help meeeee
Tomtit [17]

Answer:

CD = 3

Step-by-step explanation:

If B is the midpoint of AC, AB and BC are equal.  BC = 2, so that means AB = 2.  This means AC = 4.  If the whole line = 7, then CD, the only segment we don't know, = 7 - 4, which equals 3.

4 0
3 years ago
Read 2 more answers
How much interest is earned on $140 at 7% for five years?
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Answer:

49

Step-by-step explanation:

140*0.07*5= 49

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3 years ago
The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation o
astra-53 [7]

Answer:

<em>4x² - 24x + 20 = 0 </em>

Step-by-step explanation:

a(1)² + b(1) + 20 = 0

a(5)² + b(5) + 20 = 0

a + b = - 20 ⇒ b = - a - 20 ...... (1)

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<em>4x² - 24x + 20 = 0</em>

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3 years ago
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