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3 years ago

Can u help me plz fast

Mathematics

1 answer:

Oduvanchick [21]3 years ago

3 0

Answer:

the answer is smallest to biggest

Step-by-step explanation:

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Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

3 0

3 years ago

The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o

kifflom [539]

Answer:

$792\ \text{pounds}$

Step-by-step explanation:

$x_1=70$ cubic feet of fertilizer is used in $y_1=770$ pounds of strawberries

$x_2=90$ cubic feet of fertilizer is used in $y_2=990$ pounds of strawberries

$x=72$ cubic feet of fertilizer is used

Linear interpolation is applied

$y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}$

72 cubic feet of fertilizer will yield $792\ \text{pounds}$ of strawberries.

5 0

3 years ago

Suppose the bank installs nine alarms. What is the expected number of alarms that will detect a burglar?

Harrizon [31]

The answer is 6 because

3 0

3 years ago

What number is 45%of 180?

anastassius [24]

81 is 45% of 180.

Simply multiply the percentage rate to the whole to get the part it is representing.

180 is the whole or 100%
45% is the percentage rate of the part.

180 x 45% = 81

81 is the value of the part

Assuming the part and the whole is given, to get the percentage rate, simply divide the part by the whole. and multiply its quotient by 100%.

81/180 = 0.45 x 100% = 45%

In the instance that the part and its corresponding percentage rate is given, find the whole. divide the part by its percentage rate.

81/45% or 81/0.45 = 180

7 0

3 years ago

Read 2 more answers

Given that r = ( 7, 3, 9) and v = ( 3, 7, -9), evaluate r + v

uysha [10]

Answer:

b. (10,10,0)

Step-by-step explanation:

r+v can be evaluated if the vectors/matrices have the same dimensions.

These do. They are both 1 by 3 vectors.

Just add first to first in each.

Just add second to second in each.

Just add third to third in each.

Example:

(5,-5,6)+(1,2,3)

=(5+1,-5+2,6+3)

=(6,-3,9)

Done!

In general, (a,b,c)+(r,s,t)=(a+r,b+s,c+t).

r+v

=(7,3,9)+(3,7,-9)

=(7+3,3+7,9+-9)

=(10,10,0)

Done!

5 0

3 years ago