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Misha Larkins [42]
2 years ago
8

Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account. Which of t

he following exponential equations represents how long it will take for the account to grow to 1500?
Mathematics
1 answer:
Tomtit [17]2 years ago
4 0

The exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72

<h3>Exponential equations</h3>

Exponential equations are inverse of logarithmic equation. The standard exponential equation is expressed as;

y = ab^x

where

a is the base

x is the exponent

b is the rate

If Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account, the resulting exponential equation will be:

y = 1000(1.03)^x

If y = 1500, find the value of x

1500 = 1000(1.03)^x
1.5 = 1.03^x

ln1.5 = xln1.03
x = ln1.5/ln1.03

x = 13.72

Substitute to determine the equation

y = 1000(b)^13.72

Hence the exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72

Learn more on exponential equation here: brainly.com/question/2456547

#SPJ1

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Mr. Louis is taking a bus tour. The cost of the bus tour includes: $25.75 for the bus ride $9.25 for lunch admission to two muse
Brums [2.3K]

Answer: admission cost is 21 dollars

Step-by-step explanation:

4 0
4 years ago
A machine can produce a maximum of 600 parts per day. Yesterday, it produced 75 % of its maximum capacity. How many parts did th
gizmo_the_mogwai [7]

Answer:

450

Step-by-step explanation:

here is a fast way:

1- 75% = 75/100 = 3/4

2- 600 × (3/4) = 450

8 0
3 years ago
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Point M is located at (4,6) on a coordinate grid. Point M is translated 8 units to thr left and 9 units down to create point M'.
nata0808 [166]
Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!

We have the point 4,6. 4 is the x, and 6 is the y.

Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.

Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.

So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!

The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²

Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.

So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.

So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²

Solving it out, we first need to work within the parenthesis. Can you solve it?

Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²

8²= 64
9²= 81

64+81 = 145.

So, the distance between point M and point M' would be 145 units

Hope this helps!

If it does not, please let me know so i can try to help!

4 0
3 years ago
Why does -2.4-(-7)have the same result as -2.4+7? Explain your reasoning.
asambeis [7]

Answer:

-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.

Step-by-step explanation:

I gave a basic answer. You might have to elaborate more on this.

8 0
4 years ago
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Height of window 0.6 feet less than 2.5 times it width height of window 4.9 feet
AURORKA [14]
Suggest you use some punctuation here:  "The h<span>eight of window is 0.6 feet less than 2.5 times it width.  The height of window  is 4.9 feet.  Find the width of the window."

height of window = 4.9 feet = 2.5(width) - 0.6 feet.

simplify this equation by adding 0.6 feet to both sides of the equation:

4.9 feet + 0.6 feet = 2.5 (width); find width:

5.5 feet = 2.5 (width)

Dividing both sides of this equation by 2.5 will result in an equation for the width of the window, in feet.</span>
8 0
3 years ago
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