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3 years ago

Simplify the expression 13 (9x)

Mathematics

2 answers:

Ratling [72]3 years ago

8 0

Answer:

$117x$

Step-by-step explanation:

$13(9x) \\ = 117x$

Ratling [72]3 years ago

5 0

13(9x)

13 * 9x = 117x

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Erin has 5 cans of juice and drinks 13 of a can daily. In how many days will she empty all the cans she has?

professor190 [17]

Answer:

15 days

Step-by-step explanation:

Don't you mean 1/3? If so,

5 cans

-------------------- = 15 days

1/3 can/daily

5 0

3 years ago

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously. Natalie invested $3

Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

A = P(1 + r/n)^nt

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0

3 years ago

6. Solve the the following system of equations: 4y+2x=14 2y+2x=10

Inessa05 [86]

4y+2x=14 ==> multiply this 1st equation by (-1) => -4y-2x=-14
Now add it up to the 2nd equation
-4y-2x=-14
2y+2x=10
-------------- And now add them up
-2y +0x=-4
==> -2y=-4==> 2y = 4 & y=2
Last step: plug y into any equation & you will find x=3

3 0

4 years ago

Keegan leans an 18-foot ladder against the top of a wall. The bottom of the ladder is 4.5 feet from the base of the wall. What i

zaharov [31]

Answer: C. 17.5 feet

Step-by-step explanation:

The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

18^2 + 4.5^2 + BC^2

BC^2 = 324 - 20.25 = 303.75

BC = √303.75 = 17.5 feet.

3 0

3 years ago

What is 90 divided by 5 in distributive property

zaharov [31]

18 is the answer //////////////////

3 0

4 years ago

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