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2 years ago

What is the value of x in this equation? 4x + 2 – 23(92 + 92x) = 7

Mathematics

2 answers:

Westkost [7]2 years ago

6 0

Answer:

-707/704

Step-by-step explanation:

4x + 2 - 2116 - 2116x = 7

-2112x = 2121

x = 2121/-2112 = -707/704

strojnjashka [21]2 years ago

4 0

Answer:

x= 2121/-2112 = -707/704 = -1.00426136

Step-by-step explanation:

4x + 2 – 23(92 + 92x) = 7

Eliminate the 2 by substracting both side by -2

4x - 23(92+92x) = 5

2. Discriminate by multiplying -23 with 92 and -23 with 92x

4x - 2116 -2116x = 5

3. Add 2116 both sides to eliminate -2116

4x -2116x = 2121

4. combine 4x-2116x together

-2112x = 2121

5. Divide both sides with -2112

x= 2121/-2112 = -707/704 = -1.00426136

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There are 56 trees in a apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple tr

uysha [10]

Hello there.

Question: There are 56 trees in a apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple trees are there? What's the equation can be used for this problem?

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8 0

3 years ago

Read 2 more answers

Help pls ill give extra points

Nadya [2.5K]

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2 years ago

Simplify, THEN evaluate for x = 3, y = -4, and z= -2. 7(x - y) - 3(2 + 2x)

Tamiku [17]

Answer: 25

Step-by-step explanation:

7(x - y) - 3(2 + 2x)

= 7x - 7y - 6 - 6x

= x - 7y - 6

for x = 3, y = -4

3 - 7(-4) - 6

= 3 + 28 - 6

= 31 - 6

= 25

8 0

3 years ago

Using GCF write an expression that is equivalent to 16p+48

aalyn [17]

You start by looking at what number can divide evenly into both 16 and 48. Both numbers are divisible by 16. 16 goes into 16 once and 16 goes into 48 three times. So you divide each term by 16 and your expression should look like this: 16 (p+3)

8 0

2 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. 1 choice: P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

2 choice: P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

2 years ago

Read 2 more answers