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3 years ago

Add the two expressions. 3y + 5 and y + 24 Enter your answer in the box.

Mathematics

2 answers:

nadezda [96]3 years ago

8 0

4y+29 is the answer to the qustion

Sedaia [141]3 years ago

6 0

Answer:

4y+29

Step-by-step explanation:

hello, I can help you with this question.

to add two or more algebraic expressions you must add the similar terms, it is, variables ( the same letter or symbol) with the same exponent( 1 in this case)

Step 1

put the terms in orden and then add similar terms

+ 3y+ 5

y + 24

________________

(3y+y)+(5+24)=

4y +29

so,3y+5+y+24=4y+29

I really hope it helps.

Have a great day.

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You plan to accumulate 100,000 at the end of 42 years by making the follow-

Mariana [72]

Answer:

Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

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The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

Now we can write the two equations in the two unknowns:

Ax +Ay = 100,000

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From the latter, we have ...

X = Y +100

So the first equation becomes ...

160.429967(Y +100) +14.783599Y = 100000

175.213566Y +16,043.00 = 100,000

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Y is 479.17

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3 years ago

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