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3 years ago

Given the following diagram, find the missing measure.

Mathematics

2 answers:

Effectus [21]3 years ago

4 0

The answer is D, b/c...

2x+5x= angle 4
7x= angle 4

Angle 4 and angle 1 form a supplementary angle, so:

180-7x= the measurement of angle 1.

dimulka [17.4K]3 years ago

4 0

we know that

The sum of the internal angles of the triangle is equal to $180$ degrees

in this problem we have

m∠2= $2x\°$

m∠3= $5x\°$

m∠1+m∠2+m∠3= $180\°$

Substitute the values and solve for m∠1

m∠1= $180\°-(2x+5x)\°$

m∠1= $180\°-7x\°$

Remember that

m∠1+m∠4= $180\°$ -------> by supplementary angles

Substitute the value of m∠1 and find m∠4

m∠4= $180\°-(180\°-7x\°)$

m∠4= $7x\°$

therefore

<u>the answer is</u>

a) the measure of m∠1= $180\°-7x\°$

b) the measure of m∠4= $7x\°$

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Ashley deposits $10 000 at the end of each month for 6 times at rate of 5% compounded monthly. How much will be in her account

xz_007 [3.2K]

The future values of Ashley's periodic deposits under the five scenarios are stated in the deposit table as follows:

<h3>Deposit Table:</h3>

Item Initial Periodic Deposit Interest Future Value Interest

Deposit Deposit Period Rate ($)

a. $10,000 $10,000 6 months 5% $61,774.51 $1,774.51

b. $10,000 $10,000 3 months 5% $30,502.78 $502.78

c. $10,000 $10,000 6 months 5% $51,774.51 $1,522.42

d. $20,000 $10,000 6 months 5% $72,201.71 $2,201.71

e. $10,000 $10,000 6 months 5%/6% $60,803.78 $803.78

<h3>What is the future value?</h3>

The future value of a periodic investment represents the present value of cash flows compounded at an interest rate into the future.

The future value is computed using the FV formula or factor.

It can also be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Periodic Deposit = $10,000

Investment period = 6 months

Interest rate = 5% compounded monthly

<h3>a) for illustration:</h3>

N (# of periods) = 6 months

I/Y (Interest per year) = 5%

PV (Present Value) = $0

PMT (Periodic Payment) = $10,000

<u>Results</u>:

FV = $61,774.51

Sum of all periodic payments = $60,000 ($10,000 x 6)

Total Interest = $1,774.51

<h3>Other Special Cases:</h3>

c) Interest on $10,000 for 3 months is $1,522.42 ($1,774.51 - $252.09).

d) Future Value Interest

5% with $20,000 $82,285.04 $2,285.04

5% with $10,000 (10,083.33) (83.33)

Total for 6 months $72,201.71 $2,201.71

e) Future Value Interest

5% for 3 months $30,502.78 $502.78

6% for 3 months $30,301.00 $301.00

Total for 6 months $60,803.78 $803.78

Learn more about the computation of future values at brainly.com/question/24703884 and brainly.com/question/12979998

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4 0

2 years ago

WILL GIVE BRAINLIEST IF CORRECT

SCORPION-xisa [38]

9514 1404 393

Answer:

5544 square units

Step-by-step explanation:

Translation does not change the dimensions of the figure. The two figures together tell you the right triangle has a base of 154 units and a height of 72 units.

The area of a triangle is given by ...

A = 1/2bh

A = 1/2(154 units)(72 units) = 5544 square units

The areas of each of the triangles are 5544 square units.

8 0

3 years ago

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BARSIC [14]

Answer:

1/10^2

Step-by-step explanation:

6 0

3 years ago

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fredd [130]

Answer:

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Step-by-step explanation:

9 represents the height that the ball was originally bounced from.

If you plug in 0 for $n$ into $f(n)=9(0.7)^n$ , you get:

$f(0)=9(0.7)^0=9(1)=9$ .

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7 0

3 years ago

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Gre4nikov [31]

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<h3>HOPE THIS HELPS :)</h3>

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3 years ago