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inna [77]
3 years ago
8

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:
Anvisha [2.4K]3 years ago
7 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>
alex41 [277]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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Write the equation in slope-intercept. y - 7 = -3⁄4 (x +5)
denpristay [2]

Answer:

Step-by-step explanation: . y - 7 = -3⁄4 (x +5)

1. y = -3/4(x+5) + 7

2. y = -3/4x + -15/4 + 7

3. y = -3/4x + 13/4

4 0
3 years ago
Round the $40435.29 to the nearest thousand dollar
Tanya [424]

Answer:

$40000

Step-by-step explanation:

The nearest thousand dollar is rounding the thousand value from its hundred value, which in this case is 4. Since 4 is less than half of 10, the thousand value must round down to $40000.

5 0
3 years ago
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the ratio of the measure of the three sides of a triangle 9:6:5. its perimeter is 100 inches. find the measure of each side.
aniked [119]

Answer:

45 in, 30 in and 25 in

Step-by-step explanation:

Add the parts of the ratio : 9 + 6 + 5 = 20 parts

Divide the perimeter by 20 to find one part of the ratio.

\frac{100}{20} = 5 ← 1 part of the ratio

9 parts = 9 × 5 = 45

6 parts = 6 × 5 = 30

5 parts = 5 × 5 = 25

45 inches, 30 inches and 25 inches are the measures of each side


6 0
4 years ago
2 Sequoya has- of a liter of apple juice which fills of her glass. How many glasses will 1 liter of apple juice fill? 3 4/6 4/3
Softa [21]

We have

1/2 liter apple juice ---- 1/3 of her glass

1-liter apple juice --- x

x is the number of glass filled with 1 liter

x=\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{2}{3}

we can obtain equivalent fractions like

\frac{2}{3}=\frac{4}{6}

the answers are 2/3 and 4/6

6 0
2 years ago
Find the angle that makes them supplementary.
8090 [49]

Answer:

Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles.

A line segment has two end points.

A ray has only one end point (its vertex).

A line has no end points on either side.  

This chapter throws light on topics such as related angles, pair of lines. The chapter deals with different types of angles and lines. The types of angles discussed in this chapter are as follows:

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Two complementary angles Measures add up to 90°

Two supplementary angles Measures add up to 180°

Two adjacent angles Have a common vertex and a common arm but no common interior

Linear pair Adjacent and supplementary

A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.

All the types are discussed in detail and are supplemented with examples and short questions.  

Under the topic pair of lines, various sub-sections are discussed namely:

Intersecting lines

Transversal  

Angles made by a transversal

When two lines intersect (looking like the letter X) we have two pairs of opposite angles. They are called vertically opposite angles. They are equal in measure.

A transversal is a line that intersects two or more lines at distinct points.

Six angles discussed in this section:

1. Interior angles

2. Exterior angles

3. Pairs of Corresponding angles

4. Pairs of Alternate interior angles

5. Pairs of Alternate exterior angles

6. Pairs of interior angles on the same side of the transversal

Transversal of parallel lines

5 0
3 years ago
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