2 years ago

10.) This week, you worked shifts that were 6 hours, 5 hours,

Mathematics

1 answer:

dimaraw [331]2 years ago

7 0

Answer:

The average would be 22.25

Step-by-step explanation:

Average = $\frac{sum}{count }$

6+5+74+4= 89

there are four numbers

$\frac{89}{4}$ =22.25

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Factorise x2+3x-4. please

solmaris [256]

Answer:

(−1) (+4)

Step-by-step explanation:

4 0

2 years ago

Solve for x. x³ = 216

iragen [17]

I got X = 6
If you replace x for 6 you should get 216

6^3 = 216

5 0

3 years ago

Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank

s344n2d4d5 [400]

formula is $A=P(1-\frac{r}{n})^{nt}$

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years

we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12

remember that $ln(x^a)=a(ln(x))$

also that $(a^b)^c=a^{bc}$

$2(5745)=5745(1+\frac{0.065}{12})^{12t}$ , solving for t

divide both sides by 5745 to simplify things a bit

$2=(1+\frac{0.065}{12})^{12t}$ I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

$2=(\frac{12.065}{12})^{12t}$

take ln of both sides

$ln(2)=ln((\frac{12.065}{12})^{12t})$

$ln(2)=(12t)ln(\frac{12.065}{12})$

divide both sides by $12ln(\frac{12.065}{12})$

$\frac{ln(2)}{12ln(\frac{12.065}{12})}=t$

using our calculator, t≈10.6927

so rounded, we get 10.7 years

3 0

2 years ago

A school ends the year with 651 students. This is a 5% increase from the start of the school year.

Jet001 [13]

ANSWER:

n = 1.05n divided by 105 times 100

OR

n = (the number of students at the END of the school year) divided by 105 times 100

WORKING OUT:

1.05n = 651 students
1n = 651/105 times 100 = ANSWER

5 0

2 years ago

Read 2 more answers

A car rental agency charges $120 per week plus $.12 per mile driven. How many miles did you drive if the total charge is $162?

777dan777 [17]

$\boxed{y=120+0.12x}\\
\\
y=162\\
\\
120+0.12x=162\\
\\
0.12x=162-120\\
\\
0.12x=42\\
\\
x=\frac{42}{0.12}\\
\\
\boxed{\boxed{x=350 \ miles}}$

7 0

3 years ago