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3 years ago

Lauren wants to save $300,000 to buy a restaurant 10 years from now. How much should she deposit

Mathematics

1 answer:

UNO [17]3 years ago

4 0

Answer: $6444.14 would be deposited quarterly

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

S = $300000

r = 0.08/3 = 0.027

n = 3 × 10 = 30

Therefore,

300000 = R[{(1 + 0.027)^30 - 1)}/0.027][1 + 0.027]

300000 = R[{(1.027)^30 - 1)}/0.027][1.027]

300000 = R[{(2.224 - 1)}/0.027][1.027]

300000 = R[{(1.224)}/0.027][1.027]

300000 = R[45.33][1.027]

300000 = 46.55391R

R = 300000/46.55391

R = 6444.14

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Step-by-step explanation:

angle FDG is a alternate interior angle with angle BDG

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3 years ago

Read 2 more answers

Please give the answer to all 3!! thank you for your help.

Verizon [17]

Answer

a) PQ = 50

b) PC = 18

PY = 27

c) ZC = 6

ZQ = 18

Explanation

Centroid is a point inside a triangle where all lines drawn from each vertex to the midpoints of opposite side intersect.

Part a

X is the midpoint of PQ. SoPX = XQ.

If PX = 25,

then PQ = 2PX

PQ = 2×25

PQ = 50

Part b

The centroid is alway two thirds away from the vertex.

Also PC = twice CY

PC = 2×9

PC = 18

So, if CY = 9, then PY = 3 × 9

PY = 27

Part c

(i) The centroid is alway two thirds away from the vertex.

If ZC = 12, then CZ =(1/2)QZ

CZ = (1/2) × 12

CZ = 6

(ii) The centroid is alway two thirds away from the vertex.

So, if CZ = 6, then QZ =3 CZ

QZ = 3×6

QZ = 18

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3 years ago

David leaves the house to go to school. He walks 290 m west and 170 m north. To the nearest tenth, how far away is he from his s

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Step-by-step explanation:

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4 years ago

The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat

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Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

$(x_1, y_1) ,....,(x_n,y_n)$

For this case we assume that we want to find a linear regression model given by:

$\hat y = \hat m x +\hat b$

Where:

$\hat m$ represent the estimated slope for the model

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And for any estimation of the dependent variable $\hat y_i , i=1,...,n$ is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

$e_i = y_i -\hat y_i , i=1,...,n$

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

$(x_1, y_1) ,....,(x_n,y_n)$

For this case we assume that we want to find a linear regression model given by:

$\hat y = \hat m x +\hat b$

Where:

$\hat m$ represent the estimated slope for the model

$\hat b$ represent the estimated intercept for the model

And for any estimation of the dependent variable $\hat y_i , i=1,...,n$ is given by this model.

$e_i = y_i -\hat y_i , i=1,...,n$

So the best option for this case is:

d. residual

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3 years ago

A boat travels at constant speed. After 20 minutes the boat had traveled 2.5 miles. How long does it take the boat to reach the

schepotkina [342]

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Step by step:

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