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4 years ago

Use gcf and the distributive property to write equivalent expressions in factored form for 4d+12e

1 answer:

7 0

So distributive=ab+ac=a(b+c)
so

find the gcf of 4 and 12
4=2 time 2
12=2 times 2 times \3

the gcf is 2 times 2 =4
4(d+3e)

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7. $6,000 is invested in an account that earns 4.5% annual interest, compounded quarterly. What is the

Dafna11 [192]

Answer:

The value of account after 8 years is $8580

Step-by-step explanation:

Given in question as :

The principal that invested in an account = $6,000

The annual interest rate compounded quarterly = 4.5%

Time period = 8 years

Now from compound Interest method for quarterly .

Amount = Principal $( 1 + \frac{Rate}{4 \times 100})^{4 \times Time}$

Or,Amount = $6,000 $( 1 + \frac{4.5}{4 \times 100})^{4 \times 8}$

Or, Amount = $6,000 (1.430)

∴ Amount = $8580

Hence the value of account after 8 years is $8580 Answer

5 0

4 years ago

Im just typing this so i can reach the 20 character the limit :)

masha68 [24]

Answer:

x = 5

Step-by-step explanation:

Add the degrees of m<VUJ and m<JUT and make them equal to 175 since both angles exist with m<VUT.

17x - 3 + 17x + 8 = 175

34x - 3 + 8 = 175

34x + 5 = 175

34x = 170

x = 5

7 0

3 years ago

Classify these sequences as arithmetic, geometric, or neither. Make sure to justify your answer

xxTIMURxx [149]

Answer:

6) 7, 14, 28, 54 - geometric sequence

( multiplication with 2 )

7) 1000, 200, 40, 8 - geometric sequence

( division by 5 )

8) 7, 14, 21, 28 - Arithmetic sequence

( addition of 7 )

6 0

3 years ago

To make banana bread, Colin uses 3/4 of a cup of brown for every 2 cups of flour. How much brown sugar should Colin use to make

Lelechka [254]

$\frac{3}{8}$ cups of brown sugar needed for only 1 cup of flour

<em><u>Solution:</u></em>

To make banana bread, Colin uses $\frac{3}{4}$ of a cup of brown for every 2 cups of flour

To find: Amount of brown sugar should Colin use to make a small batch with only 1 cup of flour

Let "x" be the amount of brown sugar needed for only 1 cup of flour

From given information,

$\text{ 2 cups of flour } = \frac{3}{4} \text{ cup of brown sugar }$

$\text{1 cup of flour } = \text{ x cup of brown sugar }$

This forms a proportion and we can solve the sum by cross multiplying

$1 \times \frac{3}{4} = 2 \times x\\\\x = \frac{3}{8}$

Thus $\frac{3}{8}$ cups of brown sugar needed for only 1 cup of flour

4 0

3 years ago

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials. 3x 2 + 2x - 5

noname [10]

3x^2
+ 2x - 5
- 4 + 7x^2
—————
/combine like terms (3x2 + 7x2, -5 and -4, and 2x is alone so we leave it as it is)
—————
10x^2 + 2x - 9

6 0

3 years ago

Read 2 more answers