What is the radius of the cylinder ?
1 answer:
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Douglas invested $ 1300 altogether
<em><u>Solution:</u></em>
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
<em><u>The simple interest is given by formula:</u></em>
Where,
"p" is the principal
"n" is the number of years
"r" is the rate of interest
<em><u>He earns $152.75 in interest in one year from both accounts combined</u></em>
Therefore,
Combined S.I = 152.75
n = 1 year
<em><u>Considering the account earning 14% interest:</u></em>
<em><u>Considering the account earning 5% interest:</u></em>
<em><u>Since, Combined S.I = 152.75</u></em>
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
<em><u>how much did he invest altogether?</u></em>
Amount invested together = x + y = 975 + 325 = 1300
Thus he invested $ 1300 altogether
Answer:
180
Step-by-step explanation:
At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.
If the number of cubes equals x:
The least amount of sugar cubes the Jones family could have used is which equals 122. The most they couldve used is
which equals 183.
Based on the information from the Jones family, x is between 122 and 183.
Based on the information from the Connor's, x is between 176 and 264.
Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.