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Arlecino [84]
4 years ago
8

Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, a

nd Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?
Mathematics
1 answer:
vodka [1.7K]4 years ago
3 0
The formula is
A=p (1+rt)
A future value
P present value
R interest rate
T time in years

Rose investment
A=2,600×(1+0.041×9)
A=3,559.4

Dennis investment
A=2,200×(1+0.057×9)
A=3,328.6

So Rose investment is greater than Dennis investment by
3,559.4−3,328.6=230.8

Hope it helps!
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Combine the like terms to create an equivalent expression 10k + 4k
qwelly [4]

Answer:

14k

Step-by-step explanation:

add 10 and 4 because they both have k

4 0
3 years ago
Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 500(1.075)120x = 100.000
Volgvan

Answer:

The solution is:

x = 0.61

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

500(1.075)^{120x} = 100000

(1.075)^{120x} = \frac{100000}{500}

(1.075)^{120x} = 200

To find x, we have to apply log to both sides of the equality.

We also have that:

\log{a^{x}} = x\log{a}

So

\log{(1.075)^{120x}} = \log{200}

120x\log{1.075} = 2.30

120x*0.03 = 2.30

3.77x = 2.30

x = \frac{2.30}{3.77}

x = 0.61

4 0
3 years ago
Divide
Morgarella [4.7K]

Hello There!

<u>The answer is....</u>

<u />

A. -1 \frac{1}{4} .

Hopefully, this helps you!!

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3 years ago
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Tom is looking at plans for his new house. According to the plan, 2.6 inches equals 13 feet. If the length of the wall is 18 fee
daser333 [38]

If the length of the wall is 18 feet, then the wall on the plan is 3.6 inches long

<u>Solution:</u>

According to Tom,  2.6 inches equals to 13 feet

Length of the wall = 18 feet

If 2.6 inches is equal to 13 feet, then 1 feet is equal to:

1 feet = \frac{2.6}{13} = 0.2 inches

So, 1 feet = 0.2 inches …….(1)

Now, we have to determine the length of the wall on the plan which is 18 feet long

Using Equation (1), 18 feet = 18 × 0.2 inches = 3.6 inches

Hence , the wall on the plan is 3.6 inches long

7 0
3 years ago
An object travels 8 miles in 20 minutes at a constant speed. What is the object speed in miles per hour
JulsSmile [24]

Answer:

24miles/hour

Step-by-step explanation:

8miles/20minutes

1hour-->60minutes

60÷20=3

8×3=24miles

3 0
4 years ago
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