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3 years ago

Help???? I’ll mark brainliest !!!!!!!

Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

Answer:

(c a) (c d) (c b)

Step-by-step explanation:

it arranges in the order so i think it is the right answer

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Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

$D = \frac{72}{9} = 8$ .

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

$A = 2P$

$r = 0.09$

The interest is compounded anually, so $n = 1$

$A = P(1 + \frac{r}{n})^{nt}$

$2P = P(1 + \frac{0.09}{1})^{t}$

$2 = (1.09)^{t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.09}(1.09)^{t} = \log_{1.09} 2$

$t = 8.04$

The exact doubling time of this amount is 8.04 years.

4 0

3 years ago

If you have 8 marbles in the bag (5 blue and 3 green) and you draw 2 with replacement, what is the theoretical probability that

Readme [11.4K]

Answer:

d.39%

Step-by-step explanation:

Loki told me

But really, 39% should be correct

3 0

3 years ago

Amanda can dig a 10ft by 10ft hole in seven hours. Ming can dig the same hole in 10 hours. How long to dig the hole if they work

Klio2033 [76]

Answer:

The answer should be 4.12 hours

Step-by-step explanation:

Sorry if I am wrong.

5 0

3 years ago

Please help I don’t understand

nikitadnepr [17]

Answer:

5 people

Step-by-step explanation:

For each people Ms Hernandez bring to the zoo, she will pay $15.50, so if she go alone, 1×15.50, if she go with one person, 2×15.50, with three 3×15.50, and keep growing this way. The price each person pay is constant and equal to 15.50, and what will determine the final price is the number of people. Also remember that she always will have to pay $ 10 on parking, so you can write an equation with this:

15.50x +10 = y, as x being the number of people and y being the final price.

She have $100, so this is the max she can spend. Two know the number of people she can bring to the zoo, put 100 in place of y and find the value of x:

15.50x + 10 = 100

15.50x = 100 - 10

15.50x = 90

x = 90/15.50

x = 5.8

But there's no way to bring 0.8 person, so the max she can bring are 5 people, including her

5 0

2 years ago

The width of a rectangle is 6 2/3 inches. The length of the is twice it’s width. What so the perimeter of the rectangle?

Nookie1986 [14]

$\text {Width = } 6\dfrac{2}{3} \text { inches}
$

The length is twice its width:
$\text {Length = } 2 \times 6\dfrac{2}{3} \text { inches}$

Change to improper fraction:
$\text {Length = }2 \times \dfrac{20}{3} \text { inches}$

Combine into single fraction:
$\text {Length = } \dfrac{40}{3} \text { inches}$

Find Perimeter :
$\text {Perimeter = Length + Length + Width + Width}$

$\text {Perimeter = } \dfrac{40}{3} + \dfrac{40}{3} + \dfrac{20}{3} + \dfrac{20}{3} = \dfrac{120}{3} = 40 \text { inches}$

$\bf \text {Answer: Perimeter = 40 inches}$

6 0

3 years ago

Read 2 more answers