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alexira [117]
3 years ago
6

What is the slope of a line perpendicular to the line whose equation is

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Step-by-step explanation:

4×-20=10y

4x/10-20/10=y

x/5 -2=y

x/5 +(-2)=y--------(1)

we have

y=mx+c----------(2)

comparing eq. 1 and 2,we get,

slope (m)=1/5

c= -2

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3 years ago
Mario invested $6,000 in an account that pays 5% annual interest compounded annually how much will be there after 2.5 years
Liono4ka [1.6K]

Answer:

$48,000

Step-by-step explanation:

i = \frac{p \times r \times t}{100 }  \\ 6000 =  \frac{p \times 5 \times 2.5}{100 }  \\ 600000 =  12.5 \\ 48000

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2 years ago
5 + 1.3 • 8.7? whats the answer?
Elan Coil [88]

Answer:

56

Step-by-step explanation:

8 0
2 years ago
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Carl used 10 2/9 an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left
NARA [144]

Answer:

20-(10 2/9)-(5 1/4)= 4.52777777778 inches decimal or 163/36

Step-by-step explanation:

Simplify the following:

20 - (10 + 2/9) - (5 + 1/4)

Put 10 + 2/9 over the common denominator 9. 10 + 2/9 = (9×10)/9 + 2/9:

20 - (9×10)/9 + 2/9 - (5 + 1/4)

9×10 = 90:

20 - (90/9 + 2/9) - (5 + 1/4)

90/9 + 2/9 = (90 + 2)/9:

20 - (90 + 2)/9 - (5 + 1/4)

90 + 2 = 92:

20 - 92/9 - (5 + 1/4)

Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4×5)/4 + 1/4:

20 - 92/9 - (4×5)/4 + 1/4

4×5 = 20:

20 - 92/9 - (20/4 + 1/4)

20/4 + 1/4 = (20 + 1)/4:

20 - 92/9 - (20 + 1)/4

20 + 1 = 21:

20 - 92/9 - 21/4

Put 20 - 92/9 - 21/4 over the common denominator 36. 20 - 92/9 - 21/4 = (36×20)/36 + (4 (-92))/36 + (9 (-21))/36:

(36×20)/36 + (4 (-92))/36 + (9 (-21))/36

| 3 | 6

× | 2 | 0

| 0 | 0

7 | 2 | 0

7 | 2 | 0:

720/36 + (4 (-92))/36 + (9 (-21))/36

4 (-92) = -368:

720/36 + (-368)/36 + (9 (-21))/36

9 (-21) = -189:

720/36 - 368/36 + (-189)/36

720/36 - 368/36 - 189/36 = (720 - 368 - 189)/36:

(720 - 368 - 189)/36

720 - 368 - 189 = 720 - (368 + 189):

(720 - (368 + 189))/36

| 1 | 1 |  

| 3 | 6 | 8

+ | 1 | 8 | 9

| 5 | 5 | 7:

(720 - 557)/36

| | 11 |  

| 6 | 1 | 10

| 7 | 2 | 0

- | 5 | 5 | 7

| 1 | 6 | 3:

Answer: 163/36

4 0
2 years ago
An investor invests $2,500 into a mutual fund and earns 5.75% on the principle for each of three years. How much interest has ac
HACTEHA [7]

Answer:

Interest in 3 years = $456.52

Step-by-step explanation:

As we know the the formula of compound interest

Total amount =  A(1+\frac{r}{n})^{nt}

Here n = number of times amount is compounded

r = rate of interest

t = period

Here A = $2500

r = 0.0575

n = 1 (compounded annually)

t = 3 years

Therefore amount after 3 years

P=2500(1+\frac{.0575}{1})^{3}

P =2500(1.0575)³

  = 2500×1.18

  = $2956.52

We have to calculate the interest then

Interest = $2956.52-$2500 = $456.52

So after 3 years interest gained = $456.52

8 0
2 years ago
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