investing $27,000 in an account paying 7.25% interest compounded quarterly.
What will Jamie's account balance be in 14 years?

Answer:

Scientific notation is a way of writing very large and very small numbers.

A number in scientific notation has the form  

N

×

10

a

, where  

N

is a number between 1 and 10, and  

a

is a positive or negative integer.

To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (

N

) and then record the exponent (

a

) as the number of places the decimal point was moved.

If you move the decimal to the right, the exponent is negative.

Express  

0.000 000 03 g

in scientific notation.

Step 1. Move the decimal place to the right to create a new number between 1 and 10.

This gives  

N

=

3

.

Step 2. Count the number of times you moved the decimal.

You moved the decimal 8 places to the right.

That means the exponent  

a

=

-8

.

Step 3. Write the number in scientific notation.

0.000 000 03 g

=

3

×

10

-8

l

g

Step-by-step explanation:

Answer:3+3+2

Step-by-step explanation:

you first want to add the biggest numbers

3+3=6

and then you add the the least number

3+3+2=8

8 will be the answer

Answer:

25,000

Step-by-step explanation:

the answer is 25,000

Answer:

1/3

Step-by-step explanation:

6=18x

for x

x=6/18

x=1/3

Answer:

270

Step-by-step explanation:

51840/192= 270

Answer:270 i think

hope thatm helps

Answer:

D

Step-by-step explanation:

V_C_C

for the vowel = 2/5

for the consonant = 3/5

for next three picks it should be 2/5 * 3/5 *3/5 = 0.144

Answer:

D

Step-by-step explanation:

Vowel is 2/5 or 40%

Consonant is 3/5 or 60%

VCC is .4 x .6 x .6 = .144

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

These right triangles are similar due to the Angle Angle Similarity Theorem.

This means their side lengths are proportional

We need to find the corresponding sides of the inner triangle and full right triangle.

7 corresponds with 7 and 3.5

4 corresponds with x.

Set up proportion.

[tex] \frac{4}{7} = \frac{x}{7 + 3.5} [/tex]

[tex] \frac{4}{7} = \frac{x}{10.5} [/tex]

[tex]42 = 7x[/tex]

[tex]x = 6[/tex]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

[tex]sin^4(x) + cos^4(x)[/tex]

We can rewrite this as:

[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]

Now we can add and subtract cos^2(x)*sin^2(x) to get:

[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]

We can complete squares to get:

[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]

and we know that:

cos^2(x) + sin^2(x) = 1

then:

[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

[tex]1 - \frac{sin^2(2*x)}{2}[/tex]

Then the simplification is:

[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]

Answer:

C)

Step-by-step explanation:

3[tex]\sqrt{80}[/tex] = 3 · [tex]\sqrt{4}[/tex]· [tex]\sqrt{4}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to 12[tex]\sqrt{5}[/tex]

Answer:

134.6

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.

The level is L = 134.6

The Central Limit Theorem estabilishes that, for a random variable X, with mean  and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation

Answer:

40 cubic units

Step-by-step explanation:

9514 1404 393

Answer:

  The CPI increased 3.42% in Month 2.

Step-by-step explanation:

In a spreadsheet, the weighted sum is easily computed using the SUMPRODUCT( ) function. It multiplies the corresponding values of two arrays, then returns the sum of those products. If one of the values is a weight, then the result is a weighted sum.

Your CPI is computed as the weighted sum of the prices of the individual products. The percentage change is computed in the usual way:

  pct change = ((new value)/(old value) -1) × 100%

Of course, the spreadsheet can format a fraction as a percentage, so the computation of the change can stop after 1 is subtracted from the ratio.

Answer:

Step-by-step explanation:

Increase of production:

Percent increase:

Total increase

Percentage

Answer:

triangular prism

Step-by-step explanation:

Answer:

295 square feet

Step-by-step explanation:

Break the figure up into 3 rectangles, and then find the area of each rectangle and add all areas together.

15*3=45

19*10=190

15*4=60

45+190+60=295

Answer:26 *15*4*5*3=23400

Step-by-step explanation: Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

Answer: 2,678,400

Step-by-step explanation:

There are 31 days in January and 2,678,400 seconds

Answer:

I can't help you if I don't know the number

Answer:

Step-by-step explanation:

The correct rule for y in terms of x is

y = 3x - 4

we can check even

here when x = 1

y = 3 * 1 - 4 = - 1

similarly

when x = 2

y = 3 * 2 - 4 = 2

and so on you can check.

hope it helps :)

Answer:

the rule is y=3x-4

Step-by-step explanation:

m=y2-y1/x2-x1

m=2--1/2-1

m= 3/1

m=3

general equation of a line,

y=mx+c

if y=3x+c

if x=1 y=-1

-1=3+c

-4=c

therefore y=3x-4

Answer:

Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

Born: Johannes Gensfleisch zur Laden zum G...

Died: February 3, 1468 (aged about 68); Mainz‎, ...‎

Known for: The invention of the movable-type ...

‎Early life · ‎Printing method with... · ‎Legacy · ‎References

People also askStep-by-step explanation:

Answer:

This continental is known as-

D) Pangaea

Answer:

choice D ) Pangaea

Answer: 9,990

Step-by-step explanation:

Answer:

21/8 or 2 3/8

Step-by-step explanation:

33/8 - 3/2

33/8 - 12/8=21/8

hope it helps:)

Answer:

Perimeter = 133.681 cm

or 52.63 inches.

Step-by-step explanation:

"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."

let's use,  πr + 2r

Diameter: 52

Radius: 26 (RAdius is half of the diameter)

πr + 2r (plug in)

pi x 26 + 2(26)

pi x 26 + 52

= 133.681 cm

or

= 52.63

C

Step-by-step explanation:

I got 4 lines of symmetry going horizontal and vertical, and two diagonal

Answer:

4x^5 + x^3 + 2x^2 -3

Step-by-step explanation:

Standard form is ( put simply ) the order the numbers are from highest to lowest. So the standard form of the equation would be 4x^5 + x^3 + 2x^2 -3

9514 1404 393

Answer:

Step-by-step explanation:

The base angles are congruent in an isosceles trapezoid.

  ∠1 = 49°

Same-side angles are supplementary in any trapezoid.

  ∠2 = ∠3 = 180° -49°

  ∠2 = ∠3 = 131°