Answer:
<u>150</u>
Step-by-step explanation:
Let :
⇒ The numbers can be denoted as <u>x</u>, <u>3x</u>, and <u>5x</u>
<u />
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Solving :
⇒ It mentions their sum is 270
⇒ x + 3x + 5x = 270
⇒ 9x = 270
⇒ x = 30
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Largest number :
⇒ 5x
⇒ 5(30)
⇒ <u>150</u>
Answer:
Converse: if 5=x then x+2=7
Inverse: if x+2 doesnt = 7 then x isnt 5
Contrapositive: if x doesnt equal five then x plus two doesnt equal seven
Step-by-step explanation:
We just did this last week :)
Answer: $107,836.69 or about $107,837 (to the nearest dollar)
Step-by-step explanation:
Formula to the accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :
![A=P(1+\dfrac{r}{12})^{t}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cdfrac%7Br%7D%7B12%7D%29%5E%7Bt%7D)
As per given , A = $130,000
r= 7.5% = 0.075
t= 30 months
Now,
![130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\ P=\dfrac{130000}{1.2055266}=107,836.69](https://tex.z-dn.net/?f=130000%3DP%281%2B%5Cdfrac%7B0.075%7D%7B12%7D%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%281%2B0.00625%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%281.00625%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%20%5Ctimes1.20552661036%5C%5C%5C%5C%5CRightarrow%5C%20%20%20P%3D%5Cdfrac%7B130000%7D%7B1.2055266%7D%3D107%2C836.69)
Hence he need to invest $107,836.69 .