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3 years ago

What is the sum of 5/30+4/6

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

5/30+4/6
5/30=1/6
1/6+4/6=5/6
5/6
Hope I helped!

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√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

Simple Interest Formula

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

How is number 0.000063 written in scientific notation?

katen-ka-za [31]

Step-by-step explanation:

The scientific notation:

$a\times10^k$

1 ≤ a < 10 and k - any integer number

$0.000063=0\underbrace{.00006}_{5\to}3=6.3\times10^{-5}\\\\\\0.000063=6.3:100,000=6.3:10^5=6.3\times10^{-5}$

5 0

3 years ago

NO LINKS OR ANSWERING WHAT YOU DON'T KNOW?

snow_lady [41]

Answer:

1. D. 1

2. B. y=a³/x

3. A. y=1/x

Step-by-step explanation:

too long to give te explanations but they're there in the attachments

7 0

2 years ago

Help me with this question please!!!

Deffense [45]

It would be c because you subtract the last two runs

3 0

3 years ago

Special air bags are used to protect scientific equipment when a rover lands on the surface of Mars. On Earth, the function appr

Tema [17]

The acceleration due to gravity on earth is g = 32.174 ft/s².
Therefore on Mars,
g = (2/3)*32.174 = 21.45 ft/s²

When an object falls from rest over a distance h, the final velocity, v, obeys the equation
v² = 2gh
or
v = √(2gh)

Therefore, given h = 15 ft, the impact velocity on Mars is
v = √(2*21.45*15) = 25.367 ft/s
The closest given answer is 25.3 ft/s

Answer: B) 25.3 ft/s

5 0

3 years ago