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2 years ago

Find the slope from the graph below

Mathematics

1 answer:

larisa [96]2 years ago

7 0

You go up 4 times and go to the left 2 times so the slope would be 4/-2

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2(x-5)+8=4 what does x equal?

Ostrovityanka [42]

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x−5)+8=4

(2)(x)+(2)(−5)+8=4(Distribute)

2x+−10+8=4

(2x)+(−10+8)=4(Combine Like Terms)

2x+−2=4

2x−2=4

Step 2: Add 2 to both sides.

2x−2+2=4+2

2x=6

Step 3: Divide both sides by 2.

2x/2 = 6/2

x=3

7 0

3 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

3 years ago

Read 2 more answers

What's do you think that is delaying the development of African countries?

Amiraneli [1.4K]

Answer:

Poverty in Africa is caused by corruption and poor governance, poor land utilisation and land tenure system, civil wars and unending political conflicts, poor infrastructure, diseases and poor health facilities, the World Bank and IMF policies, among others.

6 0

3 years ago

Newton approximated motion in a circle as a series of linear motions, as in the polygon below.

mojhsa [17]

The answer is the option 3. (the arrow aimed to the center of the polygon)

Why?. Because the particle changed the direction of its movement due to a force inclined respect the motion and aimed to the center. Take in account that the vectors net force and acceleration are parallel.

5 0

3 years ago

The variables x and y have a proportional relationship, and y= 2/5 when x = 5/8

Archy [21]

Answer:

B. 16/25 x is the answer

Step-by-step explanation:

lets find the proportional relationship,

y = kx

2/5 = k * 5/8

k = (2/5) / (5/8)

k = 16/25

so if k, constant is 16/25

equation is:

y = 16/25 x

3 0

2 years ago