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Luden [163]
3 years ago
14

Write the equation of a line that passes through the points (6,2) and (-4,-3)

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0
Here is an answer on the picture
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If you invest $5,000 at 1.8 percent for 5 years, compounded quarterly, what is the amount in the
Drupady [299]

Answer: C. $5,470

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $5000

r = 1.8% = 1.8/100 = 0.018

n = 4 because it was compounded 3 times in a year(12/4 = 3 times)

t = 5 years

Therefore,

A = 5000(1 + 0.018/4)^4 × 5

A = 5000(1 + 0.0045)^20

A = 5000(1.0045)^20

A = $5470 to the nearest whole number

4 0
3 years ago
Which statement is true? The product of 8/3 and 6/5 is greater than 8/3
3241004551 [841]

Answer:

The product of 8/3 and 6/5/is greater than 8/3.

Step-by-step explanation:

(8/3)*(6/5) = (8*6)/(3*5) = 48/15

16/5. = 3.2 and 8/3 = 2.7

5 0
3 years ago
A certain electronics manufacturer found that the average cost C C to produce x DVD/Blu- ray players can be found using the equa
Kisachek [45]

Answer:

83,491.67 dollars

Step-by-step explanation:

Given that a certain electronics manufacturer ound that the average cost C C to produce x DVD/Blu- ray players can be found using the equation  C=0.03x^2-5x+700

To find the minimum average cost per machine we can use derivative test.

we find first and second derivative.

If for a particular value of x first derivative is 0 and second derivative is positive, then that x satisfies the minimum cost criteria.

C=0.03x^2-5x+700\\C'(x) = 0.06x-5\\C"(x) = 0.06>0

Second derivative is always positive

I derivative =0 gives

x=5/0.06 \\=83.33\\~83

For 83 players the cost would be minimum

Minimum cost = 0.03(83)^2-5(83)+700\\=491.67

3 0
4 years ago
The graph shows the volume of oil (L litres) in a tank at time t seconds. a)find the gradient of the graph b)explain what this g
Alisiya [41]

Answer/Step-by-step explanation:

a. Using two points on the line (0, 2) and (4, 12), find the gradient:

Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5

Gradient = 2.5

b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.

i.e. 2.5 litres per second

c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.

4 0
3 years ago
Can someone please help me with this please I really need help
Lubov Fominskaja [6]

Answer:N

Step-by-step explanation:

6 0
3 years ago
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