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3 years ago

0.000309 in scientific notation

Mathematics

1 answer:

trasher [3.6K]3 years ago

3 0

Hey there :)

Writing in scientific notation means a should be
0 ≤ a < 10

Therefore, 0.000309 will be written as
3.09 x 10ⁿ

3 is the 4th decimal place value

so n = - 4

3.04 x 10⁻⁴

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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.

<u>Simple Interest Formula</u>

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

Solve by elimination 3×+11y=4,-2×-6y=0

gizmo_the_mogwai [7]

3x + 11y = 4

2x + 6y = 0

I got
15/2, -5/4

6 0

3 years ago

Write two equivalent fractions for 5/10

shtirl [24]

1/2 and 10/20

to get 1/2 you have to divide 5/10 by 5:

5 / 5 1
----- = -----
10 / 5 2

to get 10/20 you have to multiply 5/10 by 2:

5 * 2 10
----- = ----
10 * 2 20

Hope it helps! =)

7 0

3 years ago

Read 2 more answers

A wire is attached at the top of a 500 ft vertical antenna and is staked in the ground 1200 ft from the base of the antenna. how

Pie

A^2 + b^2 = c^2
(500)^2 + (1200)^2 = c^2
1,690,000 = c^2
take the square root of 1,690,000
Answer is 1,300 feet

4 0

3 years ago

40 points right here

trapecia [35]

Add up all the sides is one way I think and then try to find the volume like add them all up then divide them by 2

4 0

3 years ago