Answer: 7 times 4
Step-by-step explanation:
In this problem you use cosine because you know the hypotenuse and you want to know the adjacent side of the triangle. So in your calculator you would input cos(52). Then you would multiply that answer with the hypotenuse side. So your equation would be this: cos(52) x 13
The correct answer is option D which is 0.798
The complete question is given below:-
For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?
a.) 1.526
b.) 1.798
c.) 2.526
d.) 0.798
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Since we know that an exponential function is in the form:y= ab
where,
a= Initial value,
b = For growth b is in form (1+r), where r is the rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is the rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while the choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.
Therefore the correct answer is option D which is 0.798
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The answer to this would be $30.67
First of all APR is the wrong term for interest earned on a deposit. So
I'm going to guess that you really mean simple interest.
Step one figure the amount in the emergency fund. Since the monthly
expenses are $1,157.65, you multiply 4 months times $1,157.65:
4($1,157.65) = $4,606.60
Step 2, figure out how much is 25% of $4,606.60. So change the percent
in a decimal by moving the decimal to the left two places.
So 25.0 becomes .25. Or you could divide 25 by 100 and get .25
Next multiply .25 times $4,606.60 and you get $1,151.65 for the amount
in the savings account.
Step 3, subtract the amount in deposited in the savings account from the total amount in the emergency fund.
So you $4,606.60 minus $1,151.65 Which gets you $3,454.95 in the CD.
Step 4, Calculate the interest earned in the savings account. Since the
savings account earns 3.3% a year and there are 365 days in a non leap
year, divide 3.3% by 365 to find out how much interest is earned a day
and multiply it times the amount in the savings account.
First change 3.3% to a decimal by moving the decimal point to the left
two places. Which gets us .033
So .033 divided by 365 times $1,151.65 Which gets us about $0.104 in
interest a day.
Finally, multiply the interest earned each day by 60 days. $0.104 times
60
Which gets us about $6.25 in interest earned on the savings account for
60 days.
Step 5, Find the interest earned on the CD. Since the CD earns 4.3%
interest a year and there are 365 days in a non leap year, divide 4.3%
by 365 to find out how much interest is earned a day and multiply it
times the amount in the CD.
First change 4.3% to a decimal by moving the decimal point to the left
two places. Which gets us .043.
So .043 divided by 365 times $3,454.95 Which gets us about $0.407 in
interest a day.
Finally, multiply the interest earned each day by 60 days. $0.407 times
60. Which gets us about $24.42 in interest earned on the CD for 60 days
Step 6, The total interest earned on the savings account and the CD is:
$24.42 + 6.25 = $30.67
Its 264.
This is because its looking for the lateral surface area. And the formula for that is S=Ph.
So that means you add up the perimeter and multiply the height.
