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Kamila [148]
3 years ago
8

Make 54/2 to a mixed numbers

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Answer: 27

Step-by-step explanation:  Look below for an attached explanation.

Hope this helps!

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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
I need to find the value of x with the given information
Vika [28.1K]

Answer:

BD is half of the answer BF is

Step-by-step explanation:

BD is only half of BF so find the answer for BF and then divide by @ and you have your answer.

6 0
3 years ago
What is the general form of the equation for the given circle centered at o (0,0) (4,5)?
charle [14.2K]
The general equation of the circle is expressed as (x-h)2 + (y-k)2 = r2 where (h,k) is the center of the circle. we are are given the center of the circle at (0,0) so the expression is simplified to <span>(x)2 + (y)2 = r2. given the other point, r2 is equal to 41. hence the final equation is x2 + y2 = 41</span>
8 0
3 years ago
Hello<br><img src="https://tex.z-dn.net/?f=.52.22.2." id="TexFormula1" title=".52.22.2." alt=".52.22.2." align="absmiddle" class
Rom4ik [11]

Uhh..not in a mood for a meet, k? Maybe later hun~~

8 0
3 years ago
Express the probability that a die wil land on a number less than 5 as a fraction
Rashid [163]

Answer:

\frac{2}{3}

Step-by-step explanation:

Values less than 5 on a die are 1, 2, 3, 4 ← 4 values out of a possible 6

P( < 5) = \frac{4}{6} = \frac{2}{3} in simplest form


7 0
3 years ago
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