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3 years ago

What is the area of the entire triangle if the altitude is a perpendicular

Mathematics

1 answer:

kifflom [539]3 years ago

5 0

Answer:

60cm^2

Step-by-step explanation:

use Pythagoras' theorem to find the height (attached)

24/2 = 12

h=5cm

are of a triangle = base x height /2

24 x 5 / 2 = 120/2 = 60

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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

45 is 20% of what number?

nadezda [96]

$x-\ number\\\\
20\%x=45\\\\
\frac{20}{100}x=45\\\\
0.2x=45\ \ \ | divide\ by\ 0.2\\\\
x=225\\\\
45\ is\ 20\% \ of\ 225.$

5 0

3 years ago

What is 18 divided by 0.2 and how?

kati45 [8]

0.2 is the same as 2/10

18/(2/10)

As you may have learned in school, when you divide a fraction, you flip the fraction in the denominator, and change it to multiplication

18/(2/10) becomes 18 x (10/2)

multiply normally

18 x 10 = 180

divide to find answer

180/2 = 90

90 is your answer

hope this helps

Remember, when you meet this problem, flip the second fraction, and change the division sign into multiplication. (always second, never first (if first is a fraction)).

5 0

3 years ago

Can i get some help on this question pls

krok68 [10]

Answer:

x = 18

Step-by-step explanation:

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2 years ago

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(0.5n+0.3)-(0.75n-0.45) find answer

Mumz [18]