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3 years ago

AJLK ~ APQR. Find the value of . 22 14 7 1 8 K 16 20 2=

Mathematics

1 answer:

In-s [12.5K]3 years ago

5 0

Answer:

x = 11

Step-by-step explanation:

sides are proportional so you can set up a proportional and cross-multiply:

JL is to PQ as LK is to QR

x/22 = 8/16

x/22 = 1/2

2x = 22

x = 11

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Magnus wants to borrow $26,000 to remodel his kitchen. He is hoping that his monthly payment will be no more than $372. The bank

Oksi-84 [34.3K]

Answer:

About 81 months

Step-by-step explanation:

We'll have to use this formula: A = P x i(1 + i)ˣ / (1 + i)ˣ - 1

A = Montly payment (372)

P = Loan amount (26,000)

i = interest rate/12 (0.043/12 = 0.035833)

x = months (?)

372 = 26,000 x 0.035833(1 + 0.035833)ˣ / (1 + 0.035833)ˣ - 1

First, substitute (1 + 0.035833)ˣ for y just to make things easier

372 = 26,000 x 0.035833y / y - 1

Multiply both sides by y - 1

(y-1)(372 = 26,000 x 0.035833y / y - 1)

372y - 372 = 26,000 x 0.035833y

Divide both sides by y

(372y - 372)/y = (26,000 x 0.035833y)/y

372 - 372/y = 26,000 x 0.035833

Add 372/y to both sides

372 - 372/y = 26,000 x 0.035833

- 372/y - 372/y

372 = 93.1667 + 372/y

Subtract 93.1667 from both sides

372 = 93.1667 + 372/y

- 93.1667 - 93.1667

372 - 93.1667 = 372/y

Cross multiply

y = 372/(372 - 93.1667)

y = 1.33413

(1 + 0.035833)ˣ = 1.33413

log₁₋₀₀₃₅₈₃₃(1.035833ˣ) = log₁₋₀₀₃₅₈₃₃(1.33413ˣ)

x = 80.59418

7 0

2 years ago

The lengths of the sides of the triangles are 13cm, 14cm, and 15cm. Is the triangle a right triangle?

natita [175]

Answer:

no i don't think

Step-by-step explanation:

it is not be a right angle is 90 and when u add it it doesn't match

4 0

3 years ago

Consider the equation below. f(x) = 4x3 + 15x2 − 150x + 9 (a) find the intervals on which f is increasing. (enter your answer us

NikAS [45]

Answer:

Increasing on (-∞, -5) and (2.5, ∞)

Step-by-step explanation:

ƒ(x) = 4x³ + 15x² - 150x + 9

Step 1.Find the zeros of the first derivative of the function

ƒ'(x) = 12x² + 30x -150 = 0

2x² + 5x - 25 = 0

(x + 5)(2x - 5) = 0

x = -5 or x = 2.5

These are your critical points.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of these values to determine if the derivative is positive or negative.

(a) x = -10

ƒ'(-10) = 12(-10)² + 30(-10) - 150 = 1200 - 300 - 150 = 750

ƒ'(x) > 0 so the function is increasing on (-∞, -5).

(b) x = 0

ƒ'(0) = 12(0)² + 30(0) -150 = -150

ƒ'(x) < 0 so the function is decreasing.

(c) x = 10

ƒ'(0) = 12(10)² + 30(10) -150 = 1200 + 300 - 150 = 1350

ƒ'(x) > 0 so the function is increasing on (2.5, ∞).

The function is increasing on (-∞, -5) and (2.5, ∞).

5 0

3 years ago

Charlie deposited $115 in a savings account. Each week thereafter he deposits $35 into the account. How much total money has Cha

nekit [7.7K]

Answer:

$1165

Step-by-step explanation:

30x35 = 1050

1050+115=1165

7 0

3 years ago

Read 2 more answers

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as

vesna_86 [32]

Answer:

1). System of equations- D + Q = 90 and D + 2.5Q = 175.50

2). There are 33 dimes and 57 quarters in the bank.

Step-by-step explanation:

Dylan has a bank that sorts coins as they are dropped in it.

A panel shows the total number of coins inside as well as the total value of these coins.

Let the number of dimes in the bank = D

and the number of quarters in the bank = Q

If the panel shows total number of coins = 90

Then the equation will be

D + Q = 90 -------(1)

And the panel displays the amount of the coins = $17.55

Then equation will be

0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]

D + 2.5Q = 175.50 ------------(2)

Now we subtract equation (1) form equation (2)

D + 2.5Q - (D + Q) = 175.50 - 90

D + 2.5Q - D - Q = 85.5

1.5Q = 85.5

Q = $\frac{85.5}{1.5}$

= 57

By putting Q = 57 in the equation (1)

D + 57 = 90

D = 90 - 57 = 33

Therefore, there are 33 dimes and 57 quarters in the bank.

4 0

4 years ago