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Natalka [10]
3 years ago
11

You would like to have $41,000 in 5 years for the down payment on a new house

Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

a. You are looking for an annuity that will give $41,000 in 5 years with a quarterly compounding rate of 4.25%.

Convert periods and interest to quarterly rate.

Period = 5 * 4 = 20 quarters

Interest = 4.25 / 4 = 1.0625‬%

41,000 = Annuity * ( [ 1  +  i ] ^n - 1 )/i

41,000 = Annuity * ( [ 1 + 1.0625%]²⁰ - 1) / 1.0625%

41,000 = Annuity * 22.1534596596

Annuity = 41,000 / 22.1534596596

= $1,851

b. There were 20 payments of $1,851 made which totals:

= 1,851 * 20

Cash from deposits = $‭37,020‬

Cash from interest = 41,000 - ‭37,020‬ = $3,980

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Answer:

see explanation

Step-by-step explanation:

(a)

To change a mixed number to an improper fraction

Multiply the whole number by the denominator of the fraction and add the numerator. This value is the numerator of the improper fraction while the denominator remains unchanged, that is

(2 × 13) + 12 = 26 + 12 = 38 ← numerator

2 \frac{12}{13} = \frac{38}{13}

(b)

To change an improper fraction to a mixed number

divide the numerator by the denominator, noting the remainder, which forms the numerator of the fraction in the mixed number.

\frac{47}{19} = 2 remainder 9, hence

\frac{47}{19} = 2 \frac{9}{19}



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3 years ago
Which answer would be correct?<br><br> is it 7.23 or something else?<br><br> * ANSWER ASAP !!! *
vladimir2022 [97]
<h3>Answer: Choice B) 8.57</h3>

==================================================

Explanation:

The triangles are similar through the AA (angle angle) similarity rule. Note how the angle markers correspond and match up. Example: angle C and angle F both have triple angle markers to indicate these angles are congruent.

The corresponding sides pair up to form equal fractions. AB and DE form AB/DE which is equal to AC/DF, as these two sides correspond as well.

Therefore: AB/DE = AC/DF

Let's plug in the given values and isolate x

AB/DE = AC/DF

11/7 = (15+x)/15 ...... substitution

11*15 = 7*(15+x) ....... cross multiply

11*15 = 7*15+7*x ...... distribute

165 = 105+7x

165-105 = 105+7x-105 ..... subtract 105 from both sides

60 = 7x

7x = 60

7x/7 = 60/7 ............ divide both sides by 7

x = 8.57142857142858

x = 8.57 ..... rounding to the nearest hundredth

3 0
3 years ago
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Why do you have to show your work
swat32
In order to help explain how you came to your answer. It also helps when marking or reviewing because it's easier to find any mistakes
8 0
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3 years ago
Three times a number n plus 16
HACTEHA [7]

Answer:

3n+16

Step-by-step explanation:

three times: (3) a number n +16

(3)n+16 or 3xn+16

3n+16

4 0
3 years ago
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