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1 year ago

Solve the inequality and graph the solution. −0.8b + 2.3 ≥ 8.7

Mathematics

1 answer:

zlopas [31]1 year ago

5 0

The solution of the inequality is -8 ≥ b, and the correct graph is the one in option D.

"number line with a closed circle plotted at negative eight and arrow pointing left."

<h3>How to solve the inequality?</h3>

Here we have the inequality:

-0.8*b + 2.3 ≥ 8.7

And we want to solve this, to do so, we need to isolate the variable b in one of the sides of the inequality.

-0.8*b + 2.3 ≥ 8.7

2.3 - 8.7 ≥ 0.8*b

-6.4 ≥ 0.8*b

-6.4/0.8 ≥ b

-8 ≥ b

So the solution is the set of all numbers equal to or smaller than -8, then the correct graph will be the one described by D.

Learn more about inequalities:

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3 years ago

at one scholl at prep level there were 5 set of twins,two sets of triplets and one set of quadruplets starting school this year.

katen-ka-za [31]

Answer: Fraction of twins = $\frac{5}{8}$ Fractions of triplets = $\frac{1}{4}$ Fractions of quadruplets = $\frac{1}{8}$

Step-by-step explanation:

Since we have given that

Number of set of twins = 5

Number of sets of triplets = 2

Number of sets of quadruplets = 1

Total number of sets is given by

$5+2+1=8$

Now, we need to find the fraction of those students.

So, Fraction of twins is given by

$\frac{5}{8}$

Fractions of triplets is given by

$\frac{2}{8}=\frac{1}{4}$

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$\frac{1}{8}$

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3 years ago

RT has the endpoints (0, 2) and (4, 2). What is its midpoint?

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3 years ago

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2 years ago

Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple in

solmaris [256]

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is $197.9

Step-by-step explanation:

In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

$A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3$

$A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58$

Interest is $A-P= 51411.58-43000= 8411.58$ =$8411.58

solving for option B which gives her 6% simple interest annually

the simple interest formula is

$A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68$

Interest is $A-P=51213.68-43000= 8213.68$ = $8213.68

calculating the diference in interest between the two options we have

$8411.58-8213.68= 197.9$ = $197.9

Option A earns higher interest

8 0

3 years ago