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3 years ago

I know the answer already but can someone explain it please 2187= 3^x Answer is x=7

Mathematics

1 answer:

natima [27]3 years ago

6 0

Answer:

3^x = 2187 is equivalent to log 3 (2187) = x. (the three is the small number that goes lower next to the g). Then, use a calculator to do log(2187) / log(3)

Step-by-step explanation:

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Allie deposited $80 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have

77julia77 [94]

Answer: $96.8

Step-by-step explanation:

Formular for Compounding annually :

A =P ( 1 + r/n) ^nt

Where p is the Principal given as $80

r is the rate given as 10% = 10/100 = 0.1

n is the number of times the principal was compounded, given as 1

t is the time, given as 2 years:

Slot the values into the formula:

A= $80 ( 1 + 0.1/1) ^ (1 × 2)

A= $80 ( 1 + 0.1) ^2

A= $80 ( 1.1) ^2

A= $80 (1.21)

A= $80 x 1.21

A= $96.8

96.8 is already rounded to the nearest cent.

5 0

3 years ago

Can you explain how to solve this

Wewaii [24]

I believe it’s 180 or something to do with that

3 0

2 years ago

The sum of three numbers is 244.84. One of the numbers is 24.6. The other two numbers are equal to each other. What is the value

mamaluj [8]

Answer:

The value of each of the other two numbers is 110.12

Step-by-step explanation:

244.84 - 24.6 = 220.24

220.24 divided by half is 110.12

The value of the other two numbers is 110.12

4 0

1 year ago

I need help with this question!!!! Given directed line segment QS, find the coordinates of R such that the ratio of QR to RS is

bagirrra123 [75]

Answer:

2.6

Step-by-step explanation:

5 0

2 years ago

A potential energy function is given by U = A x3 + B x2 − C x + D . For positive parameters A, B, C, D this potential has two eq

Ivenika [448]

Answer:

7.8655

Step-by-step explanation:

Given the functionl

$U=Ax^3+Bx^2-cx+D$

Where,

$A=1.45J/m^3\\B=2.85J/m^2\\c= 1.7J/m\\D=0.6J$

We have, replacing,

$U=1.45x^3+2.85x^2-1.7x+0.6$

We need to derivate and verify for stable equilibrum that,

$\frac{d^2 U}{dx^2}>0$

Then,

$U'(x) = 4.32x^2+5.7x-1.7$

Roots in,

$x_1=-1.57008\\x_2=0.250636$

We obtain U"(x), then we have

$\frac{d^2U}{dx}=8.64x+5.7$

For $x=-1.57, U"(x)=-7.86549$ Unestable

For $x=0.250636 U"(x)=7.8655>0$ Stable

7 0

2 years ago