Stephanie
invests $6,688 in a savings
account with a fixed annual interest rate of
2% compounded 6 times per year. What
will the account balance be after 5 years?

Answer:

144

Step-by-step explanation:

im right:D have  a good day or night

Answer:

the answer is A

Step-by-step explanation:

trust me yw <33

Let a be the first term in the sequence, and d the common difference between consecutive terms. If aₙ denotes the n-th term in the sequence, then

a₁ = a

a₂ = a₁ + d = a + d

a₃ = a₂ + d = a + 2d

a₄ = a₃ + d = a + 3d

and so on, up to the n-th term

aₙ = a + (n - 1) d

The sum of the first 10 terms is 100, and so

[tex]\displaystyle \sum_{n=1}^{10} a_n = 100 \\ \sum_{n=1}^{10} (a + (n-1)d) = 100 \\ (a-d) \sum_{n=1}^{10} 1 + d \sum_{n=1}^{10} n = 100 \\ 10a+45d = 100[/tex]

where we use the well-known sum formulas,

[tex]\displaystyle \sum_{n=1}^N 1 = 1 + 1 + 1 + \cdots + 1 = N[/tex]

[tex]\displaystyle \sum_{n=1}^N n = 1 + 2 + 3 + \cdots + N = \frac{N(N+1)}2[/tex]

The sum of the next 10 terms is 300, so

[tex]\displaystyle \sum_{n=11}^{20} a_n = 300 \\ (a-d) \sum_{n=11}^{20} 1 + d \sum_{n=11}^{20} n = 300 \\ (a-d) \left(\sum_{n=1}^{20} 1 - \sum_{n=1}^{10} 1\right) 1 + d \left(\sum_{n=1}^{20} n - \sum_{n=1}^{10} n\right) = 300 \\ 10a+145d = 300[/tex]

Solve for a and d. Eliminating a gives

(10a + 145d) - (10a + 45d) = 300 - 100

100d = 200

d = 2

and solving for a gives

10a + 145×2 = 300

10a = 10

a = 1

So, the given sequence is simply the sequence of positive odd integers,

{1, 3, 5, 7, 9, …}

given recursively by the relation

[tex]\begin{cases}a_1 = 1 \\ a_n = a_{n-1} + 2 & \text{for }n>1\end{cases}[/tex]

and explicitly by

[tex]a_n = 1 + 2(n-1) = 2n - 1[/tex]

for n ≥ 1.

u take x then multiply it by b, the add 9 to x then we will get the answer xb9x, hope u understand;>

[tex]y= g(x) = \log_4 (x^3 +2)\\\\\text{Replace x with y and solve for y:}\\\\~~~~x=\log_4 (y^3 +2)\\\\\implies y^3 +2 = 4^x\\\\\implies y^3 =4^x-2\\ \\\implies y = \sqrt[3]{4^x -2}\\\\\implies f^{-1} (x) = \sqrt[3]{4^x -2}[/tex]

Step-by-step explanation:

For example: Subtract 4x - 10y + 15z from 5x + 8y - 20z.

Step 1: Arrange the polynomials in standard form. In this example, it is already arranged.

Step 2: Place them horizontally.

(4x - 10y + 15z) - (5x + 8y - 20z)

Step 3: Change the sign of the second polynomial through the parentheses.

4x - 10y + 15z - 5x - 8y + 20z

Step 4: Arrange the like terms together.

4x - 5x - 10y - 8y + 15z + 20z

Step 5: Solve the equation

-x - 18y + 35z

Therefore, when we subtract 4x - 10y + 15z from 5x + 8y - 20z = -x - 18y + 35z.

Answer:

C

Step-by-step explanation:

The line is dotted, so the sign is non-inclusive.

The dotted line is y = -(4/5)x - 3.

The section of the graph above the line is shaded so this inequality is "greater than".

So, putting these together, you get:

C. y > -(4/5)x - 3

Answer:

53.72

Step-by-step explanation:

apply area of triangle and rectangle and add them

Answer:

D

Step-by-step explanation:

A total of 18 teams made 26 or more feild goals.

Answer:

Center: (9,-4)

Radius: 5

Step-by-step explanation:

Equation for a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

h=9

k=-4

r=5

center is (h,k)

to find the radius, get square root of 25

Answer:

Center is (9,-4)

Radius: 5

Step-by-step explanation:

h=9

k=-4

r=5

I'll help you!

Answer:

EXACT: 2.7√1.71 + 4.05 units²

APPROX: 3.5307 + 4.05 = 7.58 units²

Step-by-step explanation:

See the attached help image

Total A = 2 triangles + 1 trapezoid

Triangles

Find missing side:

2.7² + b² = 3²

b² = 3² - 2.7²

b = √1.71

Find area of triangles:

A = bh/2

A = b(2.7)/2

A = √1.71(2.7)/2
A = 1.35√1.71 units²

Trapezoid

A = (a + b)(h)/2

A = ((3-√1.71) + √1.71)(2.7)/2

A = (3)(2.7)/2

A = 4.05 units²

Total

2(1.35√1.71) + 1(4.05)

EXACT: 2.7√1.71 + 4.05 units²

APPROX: 3.5307 + 4.05 = 7.58 units²

Answer: D: Square Root Of 5

Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)

Answer:

1/2 i think using a app brjejfj

Answer:

G(x) = (x-4)⁴

Step-by-step explanation:

The equation of the graph of f(x) which is formed by shifting 4 units to the right of g(x) is f(x) = (x - 4)⁴

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given a function G(x).

G(x) = x⁴

A function F(x) is formed by shifting the graph of G(x) to the right by 4 units.

A function h(x) when shifted to the right by k units becomes h(x - c).

So the graph of G(x) when shifted to the right by 4 units becomes G(x - 4).

G(x - 4) = (x - 4)⁴

So, F(x) = (x - 4)⁴

Hence the function is F(x) = (x - 4)⁴.

Learn more about Translation of Functions here :

https://brainly.com/question/29198392

#SPJ7

Answer:

10 to the power of 4

Step-by-step explanation:

Answer:

$100

Step-by-step explanation:

What we know,

Let us assume that Ronald has $25, so Howard must have $75,

Now Howard gives $50 to Ronald, Now Ronald has $75,

Therefore our assumption is correct,

Therefore Ronald and Howard together will have $100.

Answer:

Not a proper question. But I think it's a 5

[tex] \huge \pink{ \underline{ \overline{ \: 5 \: i \: think}}}[/tex]

Answer:

First Net

Step-by-step explanation:

The first net will be the answer because you can see that the figure has a square base. The first net has a square base as well. Now, the side of the figure has equal triangles, and so does the first net. The first net fits the figure best.

Hope this helps :)

Answer: Fred needs 4/3 a cup of sugar, which can be simplified into 1 1/3.

Step-by-step explanation:

If you do 2/3 times 2/1 (because double means twice the amount) you will get 4/3, which again, can be simplified into 1 1/3.

Answer:

$150

Step-by-step explanation:

The area of the lawn is 12m so 12 x 12.50 is 150. It would cost $150

Answer:

jb

Step-by-step explanation:

9

Answer:

15

Step-by-step explanation:

Each pie requires 5 apples

5x3=15

Answer:

Step-by-step explanation:

1 apple pie = 5 apples

3 apple pies x 5 apples = 15 apples

Answer:

Y = 21

To solve this, do the inverse of division, multiplication. Multiply 3 by the result, 7, and you get 21 as your answer to the missing digit.

Answer:

10

Step-by-step explanation:

153+17=170
180-170=10

The ratio of the large cans to small cans shows the distribution of both cans

The new ratio of large cans of soup to small cans of soup in the grocery store is (b) 5 : 3 and (e) 35: 21

The given parameters are:

Ratio = 12 : 7

Rewrite as:

Large : Small= 12 : 7

The number of cans is given as:

Can = 114

So, the distribution of the cans are:

Large = 12/(12 + 7) * 114

Large = 72

Small = 7/(12 + 7) * 114

Small = 42

When 2 large cans are purchased, the remaining number of cans are:

Small = 42

Large = 70

Express as ratio

Large : Small = 70 : 42

Simplify

Large : Small = 35 : 21

Large : Small = 5 : 3

Hence, the new ratio  is (b) 5 : 3 and (e) 35: 21

Read more about ratio at:

https://brainly.com/question/16981404