An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply. This function can be represented by the quadratic equation f(x)=0.15(x+60)^2 This situation can be represented by the exponential function f(x)=60 x 1.15^x This function has no x-intercept After 4 years the value of the investment will be $120.00 After 6 years the value of the investment will be $653.00 After 7.86 years the value of the investment will be 3 times the initial value After 8 years the value of the investment will be $184.00
Answers
initial investment = $60.
increase in value by 15% each year
The function that best represents the above problem is: f(x) = 60 * (1.15)^x
f(4) = 60 * (1.15)⁴ = 60 * 1.75 = 105.00
f(6) = 60 * (1.15)⁶ = 60 * 2.31 = 138.60
f(7.86) = 60 * (1.15)⁷.⁸⁶ = 60 * 3 = 180
After 7.86 years the value of the investment will be 3 times the initial value
f(8) = 60 * (1.15)⁸ = 60 * 3.06 = 183.60
After 8 years the value of the investment will be $184.00
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Answer:
Each coins are quarters of 6, nickels of 18 and the dimes of 9.
Step-by-step explanation:
There is a mistake in question.
The question must be:
A collection of 33 coins having dimes quarters and nickels, there are 3 times as many nickels as quarters, and one-half as many dimes as nickels, all of the coins equal $3.30 how many coins of each kind are there?
Now, to find the number coins of each.
Let the quarters be .
Nickels be .
And the dimes be .
So, the total collection of coins are:
On adding the fractions we get:
Multiplying both sides by 2 we get:
Dividing both sides by 11 we get:
Thus, quarters = 6.
Nickels =
Dimes =
Therefore, each coins are quarters of 6, nickels of 18 and the dimes of 9.
Answers
product of a number with decimal places to the hundredths multiplied by a number with decimal places to the tenths, the product must have Three decimal digits.
How do you find the number of decimal places in a product of decimals?
- To multiply decimals, set up the numbers and multiply them as you would whole numbers. Calculate the total number of decimal places in both factors. Insert the decimal point into the product so that the total number of decimal places in the product equals the total number of decimal places in the factors.
- To determine the number of decimal places in a multiplication problem, count and add the number of decimal places in each number.
- The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit following the decimal. The remaining digits fill in the place values until there are no more digits.
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B. 3 to 20
C.1 to 5
D.3 to 5
Answers
Answer: The correct option is (D) 3 to 5.
Step-by-step explanation: Given that a youth ice hockey game has 3 periods that are each 20 minutes long. Colin plays 12 minutes each period.
We are to select the correct ratio that shows Colin's playing time compared to the total number of minutes of playing time possible.
Since there are three periods, so Colin's total playing time is given by
And each period is 20 minutes long, so total number of minutes playing time possible will be
Therefore, the ratio that shows Colin's playing time compared to the total number of minutes of playing time possible is given by
Thus, the required ratio is 3 to 5.
Option (D) is CORRECT.
3*12=36
36:60=3:5
The answer is D. 3 to 5