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3 years ago

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If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they w

ork together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

<em>Hello soldier!! The answer is D! Have a great day <3</em>

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Paddy and Anna each invest $2000 for 5 years.

Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = $P(1+rt)$

, where

P= principal value , r= rate of interest , t = time.

Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

$A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125$

Formula to compute compound amount : $P(1+r)^t$

$=2000(1+r)^5$

When both have same worth then

$2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625$

taking log on both sides , we get

$5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%$

Hence, Value of r= 1.22

6 0

3 years ago

Simplify the expression 32a769. Assume a = 0 and b +0.<br> Enter the correct answer in the box.

Solnce55 [7]

Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

4 0

3 years ago

What is 25 more than n in an algebraic expression

sashaice [31]

25 + n
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8 0

3 years ago

A bank account yields 7 percent interest, compounded annually. If you deposit $1,000 in the account, what will the account balan

lianna [129]

Hi there
The formula is
A=p (1+r)^t
A future value?
P present value 1000
R interest rate 0.07
T time 5 years
So
A=1,000×(1+0.07)^(5)
A=1,402.55

It's a

Hope it helps

7 0

3 years ago

Chloe received 86% on her first test, a 47/50 in her next test, and a 0.89 on her third test. List her percentages in order from

Mumz [18]

Answer:

84%, 86%, 89%

Step-by-step explanation:

The three numbers, expressed as percentages, are ...

86%
(47/50)×100% = 84%
0.89×100% = 89%

Smallest to largest, they are 84%, 86%, and 89%. In the original form, they are 47/50, 86%, and 0.89.

7 0

3 years ago