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Bingel [31]
4 years ago
11

Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she s

ubstitute 4,383 in the simple interest formula I = p r t?
I
p
r
t
Mathematics
1 answer:
Lina20 [59]4 years ago
6 0

Answer:

I

Step-by-step explanation:

Because p, r, and t stand for the years, interest and the complete total after the 3 years.

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SIMPLIFY THE EXPRESSION PLEASE 3(-6 + 2j)
snow_lady [41]

Answer:

-18 + 6j

Step-by-step explanation:

you multiply 3 by -6 which is -18

then you multiply 3 by 2j which is 6j

6 0
3 years ago
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign
makkiz [27]
96 times 5.3 divide by 60, equal to 8.48 minutes, the third choice is correct
5 0
3 years ago
A dance class consists of 22 students, of which 10 are women and 12 are men. if 5 men and 5 women are to be chosen and then pair
OverLord2011 [107]

solution:

I choose 5 women from a pool of 10 in 10C2 ways.

I choose 5 men from a pool of 12 in 12C2 ways.

So total number of ways of choosing in 10C2 x 12C2. Now I need to arrange them in 5 pairs. This is where I have a different solution. The solution says that there are 5! ways to arrange them in pairs.

But I cant seem to understand why? My reasoning is that for first pair position I need to choose 1 man from 5 and 1 woman from 5. So for the first position I have 5 x 5 choices (5 for man and 5 for woman). Similarly for the second position I have 4 x 4 choices and so on. Hence the total ways are 5! x 5!

So I calculate the total ways as 10C2 * 12C2 * 5! * 5!. Can anyone point the flaw in my reasoning for arranging the chosen men and women in pairs.

3 0
4 years ago
How do you do multi step inequalities
atroni [7]

Answer:

Solving multi step inequalities is very simple to solving equations what you do to one side you need to do to the other side in order to maintain the "balance" of the inequality. The properties of inequality can help you understand how to add, subtract, multiply, or divide within an inequality.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Point p(a,b) is in the first quadrant on the graph of the line x+y=4. A triangular region is shown on the diagram. What is the m
Gala2k [10]

Answer:

The maximum area of the triangular region is 2 square units

Step-by-step explanation:

we know that

The area of the triangular region is equal to

A=\frac{1}{2}(x)(y) -----> equation A

where

x is the x-coordinate of point P

y is the y-coordinate of point P

we have

The equation of the graph of the line is

x+y=4

y=-x+4 -----> equation B

substitute equation B in equation A

A=\frac{1}{2}(x)(-x+4)

A=-\frac{1}{2}x^2+2x

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The y-coordinate of the vertex represent the maximum area of the triangular region

Find the vertex

Convert the quadratic equation in vertex form

Factor -1/2

A=-\frac{1}{2}(x^2-4x)

Complete the square

A=-\frac{1}{2}(x^2-4x+4)+2

Rewrite as perfect squares

A=-\frac{1}{2}(x-2)^2+2

The vertex is the point (2,2)

so

The maximum area is the y-coordinate of the vertex

The maximum area of the triangular region is 2 square units

Find the coordinates of point P for the maximum area

x=2 (x-coordinate of the vertex)

Find the y-coordinate of point P

substitute in equation B

y=-2+4=2

The coordinates of point P for the maximum area is P(2,2)

3 0
4 years ago
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