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KonstantinChe [14]
3 years ago
12

Ted and Alan are in a race to double their money. Ted feels he will win if he puts his $4,000 into a savings account offering 4.

5% interest compounded annually. Alan feels he will win because he intends to put his $1,000 into a savings account offering 6% interest compounded annually. Using the rule of 72, who will win, and how many years will it take to double his money? Alan will win. It will take 16 years. Alan will win. It will take 12 years. Ted will win. It will take 12 years. Ted will win. It will take 16 years.
Mathematics
2 answers:
siniylev [52]3 years ago
8 0
Ted: 
4,000 @ 4.5% interest compounded annually

Alan:
1,000 @ 6% interest compounded annually 

Rule of 72: divide 72 by the compound annual interest rate

Ted: 72/4.5% = 16 years
Alan: 72/6% = 12 years

<span>Alan will win. It will take 12 years.</span>
crimeas [40]3 years ago
6 0

Answer:

Alan will win. It will take 12 years.

Step-by-step explanation:

Just took the test

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Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on
Diano4ka-milaya [45]

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

4 0
3 years ago
Help me this is hard
siniylev [52]

Following PEMDAS is crucial to solving these. Please Excuse My Dear Aunt Sally

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Multiplication/Division and Addition/Subtraction are interchangeable.

Now then, number 1 has the following:

4-2*409-8*96

There are no parenthesis or exponents, but there is multiplication, so we will start with multiplying. There are two multiplication expressions in the problem.

-2 * 409 = -818

-8 * 96 = -768

Since you did that, your answer has been simplified to:

4-818-768

Now, all you have to do is combine your like terms. Since every term is alike, you can combine the whole expression.

4-818-768 = -1582

So, your final answer would be:

4-2*409-8*96 = -1582

Hopefully with this information, you can solve the rest. If you have any questions, let me know.

3 0
3 years ago
A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o
DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =\angle ACB = 45^{\circ}

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB

Hence The height of tree house is 70.71 feet

8 0
3 years ago
I have a 69 and an 82. The 69 is worth 40% of my grade and the 82 is worth 15%. Can someone tell me my current average grade. Pl
Margarita [4]

Answer:

The average is around 75.5

Step-by-step explanation:

7 0
4 years ago
A first play of football game resulted in a loss of 12.5 yards. Then a penalty resulted in another loss of 5 yards. What is the
lions [1.4K]
The total loss is 17.5 yards.
8 0
3 years ago
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