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Oksi-84 [34.3K]
2 years ago
14

ANSWER QUICK PLEASE THANK YOU!!! 7 1/2 divided by (4 1/2 - 5 1/8)=

Mathematics
1 answer:
DiKsa [7]2 years ago
8 0

Answer:

7 1/2 divided by (4 1/2 - 5 1/8)=-12

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!!

Answer is -12

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Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, co
sineoko [7]

2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

Step-by-step explanation:

The given is,

               Initial investment - $5000

               Future amount - $6000

               Interest rate - 7.5% (compounded quarterly)

Step:1

           Formula to calculate the Future amount with compound interest,

                                   F = P(1+\frac{r}{n} )^{nt}...................................(1)

          Where, F - Future amount

                           P - Initial amount

                            r - Rate of interest

                           n - No. of compounding in a year

                            t - Time period

          From given,

                      F = $6000

                      P = $5000

                       r = 7.5%

                       n = 4 (compounded quarterly)

        Equation (1) becomes,

                              6000=5000(1+\frac{0.075}{4} )^{(t)(4)}

                               \frac{6000}{5000} =(1+0.01875)^{4t}

                                 1.2 = (1.01875)^{4t}

         Take log on both sides,

                            log 1.2 = 4(t) log 1.01875

         Substitute log values,

                       0.07918 = 4(t) (0.0080676)

                                      = (t) (0.0322705)

                                   t = \frac{0.07918}{0.0322705}

                                      = 2.45

                                   t ≅ 2.5 years

Result:

         2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

3 0
3 years ago
Use the function below to find f(-4).
Margaret [11]

Answer:

A

Step-by-step explanation:

f(x) = 2x

f(-4) = 2(-4) = -8

7 0
3 years ago
A square plastic tarp has a perimeter of 68 meters. How long is each side of the tarp?
alina1380 [7]

Answer:

17 meters

Step-by-step explanation:

The perimeter is the addition of all sides. Since the perimeter is 68 meters and a square has 4 sides, we can divide 68 by 4 and we get 17.

7 0
3 years ago
Read 2 more answers
What is the length of the unknown leg
likoan [24]

Answer:

6 mm

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the unknown leg

a^{2} +b^{2}=c^{2}

Since we need to solve for a, we will manipulate the equation in terms of b and c → a=\sqrt{c^{2}-b^{2}  }

Here,  b = 7 mm and c = \sqrt{85} mm

Plugging these numbers into our equation gives us a=\sqrt{(\sqrt{85})^{2} -(7)^{2}  } →\sqrt{85-49} = \sqrt{36} = 6 mm

6 0
3 years ago
The life expectancy (in hours) of an electric bulb is normally distributed with a mean of 5000 and a standard deviation of 1000.
Sergeu [11.5K]

Answer:

P(z>1.3) = 0.9032

Step-by-step explanation:

We are given:

Mean = 5000

Standard deviation = 1000

x = 6300

P(x>6300)=?

z-score =?

z-score = x- mean/standard deviation

z-score = 6300 - 5000/1000

z- score = 1300/1000

z-score = 1.3

So, P(x>6300) = P(z>1.3)

Looking at the z-probability distribution table and finding value:

P(z>1.3) = 0.9032

So, P(z>1.3) = 0.9032

7 0
3 years ago
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