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svp [43]
3 years ago
15

A total of 5000 is invested part at 10% and the remainder at 15%. How much is invested at Each rate if the annual interest is $6

30?
Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:Let the amount invested in each be

A and B

A+B=5000

0.1A+0.15B=630

0.1(5000-B)+0.15B=630

500-0.1B+0.15B=630

0.05B=130

B=2600

A=2400

Step-by-step explanation:

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Answer:

2.4

Step-by-step explanation:

6 0
3 years ago
Evaluate the expression (x^5)^3(16x^8)^1/2
Contact [7]

Answer:

8x^23 i think

3 0
3 years ago
Best has knitted 5/8 of the scarf she is making has she needed more than one half of the scarf can't find the equivalent fractio
BabaBlast [244]
To compare 5/8 and 1/2, you will need to create fractions that have the same denominator. 1/2 is the same as 4/8.

5/8 is greater than 4/8, so she had knitted more than 1/2.
4 0
3 years ago
A case of 24 tennis balls weighs 3 pounds. How much would a shipment of 2560 tennis balls weigh? Please write
kolbaska11 [484]

The weight of a shipment of 2560 balls weighs 320 pounds.

<h3>How much would a shipment of 2560 tennis balls weigh?</h3>

We know that 24 tennis balls weigh 3 pounds. Then the weight of a single tennis ball is:

W = (3 lb)/(24 balls) = (1/8) pounds per ball.

To get the weight of 2560 tennis balls, we just need to multiply the number of tennis balls by the weight of a single ball, then we get:

Total weight = 2560*(1/8) pounds per ball = 320 pounds.

The weight of a shipment of 2560 balls weighs 320 pounds.

If you want to learn more about weight:

brainly.com/question/25973294

#SPJ1

8 0
2 years ago
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can repre
swat32

Equal expressions can be taken equal to an another variable. The system of equations representing the equation is  y = x + 3\\y = 4x + 8

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)

Log with base e = 2.71828... is written as \ln(x) simply.

Log with base 10 is written as \log(x) simply.

The given equation is:

\log_4(x+3) = \log_2(2 +x)

Adding \log_2(4) on both the sides, we get:

\log_2(4) + \log_4(x+3) =\log_2(4) +  \log_2(2 +x) \\\\log_2(x + 3) = log_2(4(2+x))\text{\: \: \: (using first and  last property listed)}\\\\x+3 = 8+4x = y(say)

The, we get two equations as:

y = x + 3\\y = 4x + 8

This is the needed system of equations.

Learn more about logarithms here:

brainly.com/question/20835449

6 0
3 years ago
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