3 years ago

The Rectangles are similar. Find the value of the variable (Picture Included)

Mathematics

2 answers:

Nady [450]3 years ago

8 0

6/14=x/20 cross multiply and get 14x=120 divide and get 8 2/30

Nastasia [14]3 years ago

7 0

X=8 $\frac{4}{7}$

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Solve the equation for t

adelina 88 [10]

Answer:

t= -3.7

Step-by-step explanation:

1. 5( t+3)= -3.5

2. 5t+15= -3.5

3. 5t= -18.5

4. t= -3.7

3 0

4 years ago

I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help

VMariaS [17]

Answer: a) 8.779 years

b) 8.664 years

<u>Step-by-step explanation:</u>

$A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

A: accumulated amount (balance)
P: principal amount (original/initial investment)
r: interest rate (convert to a decimal)
n: number of times compounded per year
t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

$1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}$