All categories

2 years ago

What is the annual compound interest rate for an investment account modeled by the function y=12⋅1.18t ?

Mathematics

1 answer:

NikAS [45]2 years ago

7 0

Answer:

The interest rate for the given investment is 18%.

Step-by-step explanation:

We are given that,

The function representing the investment model is, $y=12(1.18)^t$ .

It is required to find the interest rate for the investment.

Since, the function can be re-written as,

$y=12(1.18)^t$

i.e. $y=12(1+0.18)^t$

So, on comparing with the formula for compound interest i.e. $A=P(1+r)^t$ , where 'r' is the interest rate.

We have that,

The interest rate for the given investment is 0.18 i.e. 18%.

You might be interested in

A rectangle is 5 times as long as it is wide. The perimeter is 50 cm. Find the dimensions of the rectangle. Round to the nearest

n200080 [17]

Answer:

Dimensions = 21 centimeters by 4.2 centimeters.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 50cm

Translating the word problem into an algebraic expression, we have;

L = 5W

To find the dimensions of the rectangle;

Perimeter of rectangle = 2L + 2W

50 = 2L + 2W

50 = 2(5W) + 2W

50 = 10W + 2W

50 = 12W

W = 50/12

W = 4.2 cm.

To find the length;

L = 5W

L = 5*4.2

L = 21 cm.

8 0

2 years ago

Let f(x) = x2 − 16. find f−1(x). open study

Bogdan [553]

Okay, so first you make f(x) = y and switch x and y. So the equation becomes:

x = y^2 - 16

The next step is to get y by itself. So first you add 16 to both sides:

x + 16 = y^2

Now you square root everything, so the final answer is going to be:

the square root of x + 4 = y

5 0

2 years ago

Read 2 more answers

3. Consider the medical procedure described in the previous question, and suppose a patient is charged $24,900 for the procedure

Gekata [30.6K]

Answer:

Step-by-step explanation:

3 0

2 years ago

1a. [1 mark] The price per kilogram of tomatoes, in euros, sold in various markets in a city is found to be normally distributed

andrey2020 [161]

Answer:

The price that is two standard deviations above the mean price is 4.90.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.22 and a standard deviation of 0.84.

This means that $\mu = 3.22, \sigma = 0.84$