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MariettaO [177]
2 years ago
10

Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his in

vestment after x years: What is the average rate of change of the value of Jack’s investment from the 3rd year to the 5th year Write your answer to the hundredths place.
Mathematics
1 answer:
schepotkina [342]2 years ago
6 0

Answer: The average rate of change of Jack's investment from the third year to the fifth year is $6.43

Step-by-step explanation:

The function that defines the value of his investment after x years,

Putting the value of x as 3 and 5, we can get the value of his investment after 3 years and 5 years respectively.

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Find the range of ƒ(x) = 3g – 5 for the domain {–1.5, 2, 4}
timofeeve [1]
-1.5 ------ f(x) = 3(-1.5) - 5
= -4.5 -5
= 9.5

2 -------- f(x) = 3(2) - 5
= 6 -5
= 1

4 -------- f(x) = 3(4) - 5
= 12 - 5
= 7
(9.5, 1 , 7)
6 0
3 years ago
Which two integers is 42 between?<br> -8 and -7<br> -5 and -4<br> -7 and -6<br> -9 and -8
Karo-lina-s [1.5K]

Answer:

6 and 7

Step-by-step explanation:

we know that 42 will lie between 36 and 49

And 36=6; 49=7

so we can be sure that 42 lies between 6 and 7

3 0
2 years ago
HELP! Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.
Lunna [17]

Answer:

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

(h,k) is the center and r is the radius

step 1

Find the radius of the circle

Remember that the distance of the center and any point on the circle is equal to the radius of the circle

so

Find the distance between the points (-3,-4) and (0,0)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

r=\sqrt{(0+4)^{2}+(0+3)^{2}}

r=\sqrt{(4)^{2}+(3)^{2}}

r=\sqrt{25}

r=5\ units

step 2

Find the equation of the circle

(x-h)^{2}+(y-k)^{2}=r^{2}

the center is the point (-3,-4) and the radius is r=5 units

substitute

(x+3)^{2}+(y+4)^{2}=5^{2}

(x+3)^{2}+(y+4)^{2}=25

6 0
2 years ago
Expand(2x-1)(x+5) please answer this ASAP thank you.
hjlf

Answer:

2x² + 9x - 5

Step-by-step explanation:

Given

(2x - 1)(x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(x + 5) - 1(x + 5) ← distribute both parenthesis

= 2x² + 10x - x - 5 ← collect like terms

= 2x² + 9x - 5

4 0
2 years ago
What is the answer to 8/6+ - 9/5
Sindrei [870]

Answer:

-7/15

Step-by-step explanation:

get red of the addition and subtract the two fractions

3 0
3 years ago
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