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sukhopar [10]
3 years ago
5

F (x)=(3x+7)^2 then f (1) =

Mathematics
2 answers:
AlexFokin [52]3 years ago
8 0
F(1) MEANS TO GIVE THE VALUE OF x AS 1
WHEN U SUBSTITUTE IT U GET THE ANSWER AS 100
g100num [7]3 years ago
5 0
Y=(3[1]+7)^2
y=(10)^2
y=100
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If LR = 12 and PR = 4, find LP. Explain.
Softa [21]
<h2>Answer:</h2>

LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution

<h2>Step-by-step explanation:</h2>

From this problem, we know that:

LR = 12

PR = 4

So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:

LP + PR = LR

By substituting LR = 12 and PR = 4, we have:

LP + 4 = 12

Subtracting 4 from both sides:

LP + 4 - 4 = 12 - 4

LP + 0 = 8

Finally:

LP = 8

7 0
3 years ago
Read 2 more answers
The volume of the oblique cylinder is 24 ft3.
Assoli18 [71]

Answer:

A: The height of the cylinder is 3.4 ft.

C: The diameter of the cylinder is about 3 ft.

E: A right cylinder with the same height and radius as this oblique cylinder would also have a volume of 24 ft3.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
You wish to purchase a new car and can afford monthly repayments of up to $250 per month. You see a car you like for $12,000 and
White raven [17]

Answer:

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

Step-by-step explanation:

The monthly required payment of the finance can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or finance amount = $12,000

M = Finance’s monthly required payment = ?

r = Monthly interest rate = Annual interest rate / 12 = 17.9% / 12 = 0.179 / 12 = 0.0149166666666667

n = number of months = Number of years * 12 = 5 * 12 = 60

Substitute the values into equation (1) and solve for M, we have:

$12,000 = M * ((1 - (1 / (1 + 0.0149166666666667))^60) / 0.0149166666666667)

$12,000 = M * 39.464764662266

M = $12,000 / 39.464764662266 = $304.07

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

4 0
3 years ago
Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals
LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

3 0
2 years ago
While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but
Sonja [21]

Answer:

24 miles

Step-by-step explanation:

In order to calculate Judy's estimation, we would simply have to multiply the actual distance in kilometers of the tour by the number of miles that Judy believes are in a single mile. This would give us Judy's estimation for how long the tour would be in miles.

40 km. * 0.6 miles = 24 miles

Finally, we can see that Judy's estimation would be that the tour is 24 miles long. Using Judy's believed conversion rate.

8 0
2 years ago
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