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2 years ago

Write an equation of the line that passes through (1,1) and is perpendicular to the line that passes through (−6,−5) and (0,7).

Mathematics

1 answer:

iris [78.8K]2 years ago

7 0

Answer:

hope this helps

the long picture will be part 1 and the small pic is the second part

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What's the answer???

Tema [17]

It is the last answer. because the shaded part is above the line, it is greater than. the slope is 1/3. that leaves only one more equation remaining, so the answer is the last one.

6 0

3 years ago

Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals

LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

3 0

2 years ago

PLEASE HELP 100 POINTS GUARANTEED! PLEASE PUT THE ANSWER IN AN ALGEBRAIC EXPRESSION!!! ANSWER ALL AND YOU WILL RECEIVE BRAINLIES

zlopas [31]

Answer:

-2 = x/4 + 1

Subtract 1 from both sides:

-2 - 1 = x/4 + 1 - 1

-3 = x/4

Multiply both sides by 4:

-3 * 4 = x/4 * 4

-12 = x

3x+5

X= 12 or 18

This could be read two different ways.

0=2/3x-12

12=2/3x

12÷2/3=x

12*3/2=x

18=x

—-OR—-

0=2/3(x-12)

0=2/3x-8

8=2/3x

8÷2/3=x

8*3/2=x

12=x

7 0

2 years ago

Tel wether the relationship is proportional relationship. Explain why or why not.

dem82 [27]

Yes because it is linear, also if you set up the proportion 2/4=1/2 they are equal.

8 0

3 years ago

A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.

worty [1.4K]

Volume of piece candy is 113.04 cubic centimeter

Solution:

A student bought a piece of hard candy that is in the shape of a sphere

The candy has a radius of 3 centimeters

Radius = 3 cm

Use 3.14 for π

Volume of sphere is given as:

$V = \frac{4}{3} \times \pi \times r^3$

Where, "r" is the radius of sphere

Therefore, volume of candy is given as:

$V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04$

Thus volume of candy is 113.04 cubic centimeter

3 0

3 years ago