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2 years ago

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Mathematics

2 answers:

Molodets [167]2 years ago

8 0

The value of the expression is 76 1/4 or 76.25

hope this helps, and brainliest please

Alex2 years ago

3 0

Answer:

Step-by-step explanation:

76+2^2

76+4÷4^4

76+4÷16

80÷16

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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

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2 years ago

Suppose that a box contains one fair coin and one coin with a head on each side. suppose that a coin is selected at random and t

lukranit [14]

There is a 50% chance it is the fair coin

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2 years ago

What is tan 30°? 60' 2 1 90 30"

Lemur [1.5K]

Answer:

Option F. 1/√3

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 30°

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The value of Tan 30° can be obtained as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = 1/√3

Thus, the value of Tan 30° is 1/√3

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1 year ago

Hey can you please help me posted picture of question

Deffense [45]

Correct answer is option D.

The solution is listed below

$F(x)=4x+7 \\ \\ 
y=4x+7 \\ \\ 
y-7=4x \\ \\ 
 \frac{y-7}{4}=x \\ \\ 
 x= \frac{y-7}{4} \\ \\ 
f-^{1}(y) = \frac{y-7}{4} \\ \\ 
f-^{1}(x) = \frac{x-7}{4} \\ \\ 
$

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2 years ago

Is anyone good at paralleligram?!I will mark brainlest.for 13 points

Black_prince [1.1K]

Answer:

Y= 15

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Step-by-step explanation:

Okay, so the sides that are across from eachother, are always equal to eachother, in a parallelogram.

So, 5y-20 = 2y + 25

Next, you add 20 to both sides, and then subtract 2 from the right side, and subtract 2 from the left side ,and you get 3y = 45

divide 45 by 3 , and you get 15.

DO the same thing for the X's.

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2 years ago