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mylen [45]
3 years ago
5

If y varies directly as x, find the constant of variation if y = 5 when x = -0.1.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0
Y=kx......5=0.1k....k=5/0.1.....k=50
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If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2years?
AVprozaik [17]
3% = 3/100 = 0,03

When it's compount interest it's 1,03 because you gain 3% more from what you already have.

All you need to do
1,03•2000=2060$ for the first year

And then for the second year, you take the actual amount after one year of 3%

1,03•2060=2121,8

After two years, there will be 2121,8$
5 0
3 years ago
Read 2 more answers
HELP ME Write and solve a proportion to find y.
Phoenix [80]

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

d'\propto d

d'=kd

\dfrac{d'}{d}=k

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

k=\dfrac{OB'}{OB}

k=\dfrac{36}{16}

k=\dfrac{9}{4}

We know that,

k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}

\dfrac{9}{4}=\dfrac{A'C'}{AC}

\dfrac{9}{4}=\dfrac{27}{y}

9\times y=27\times 4

Divide both sides by 9.

y=\dfrac{27\times 4}{9}

y=3\times 4

y=12

Therefore, the value of y is 12.

6 0
3 years ago
Select the correct answer.
schepotkina [342]

Answer:

He drove the rest of the trip at 30 miles per hour

Step-by-step explanation:

The rule of the distance is D = v × t, where

  • v is the speed
  • t is the time

∵ It is 170 miles from Bruce's house to the city where his brother lives

∴ D = 170 miles

∵ He drove for 2 hours at 55 miles per  hour

∴ t1 = 2 hours and v1 = 55 miles/hour

→ By using the rule above find the distance of this part of his trip

∴ D1 = 55 × 2 = 110 miles

∵ The rest of the trip took 2 hours

∴ t2 = 2 hours

∵ D = D1 + D2

→ Substitute the values of D and D1 to find D2

∴ 170 = 110 + D2

→ Subtract 110 from both sides to find D2

∴ 60 = D2

∴ D2 = 170 - 110 = 60 miles

∵ The rest of the trip is 60 miles

∵ It took 2 hours

∵ D2 = v2 × t2

∴ 60 = v2 × 2

→ Divide both sides by 2

∴ 30 = v2

∴ v2 = 30 miles/hour

∴ He drove the rest of the trip at 30 miles per hour

3 0
3 years ago
Please help me with this question I took a picture of it
Juli2301 [7.4K]

Answer:

40

Step-by-step explanation:

36 = 90% × (number of questions)

36/0.90 = (number of questions) = 40 . . . . . divide by the coefficient of the variable

There were 40 questions on the test.

8 0
2 years ago
Solve for x:<br><br> x/8 - x/9 = 1
eduard

Answer:

hope this helps you!!!

Step-by-step explanation:

MARK AS BRAINLIEST!!

6 0
2 years ago
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