If you invest 3,500 in a savings account that pays 4% simple interest how much will the new balance be after including interest?

Answer:

y = 4.4

x = 1/5

Step-by-step explanation:

5x -4 = -3

5x -4 +4 = -3 +4

5x = 1

x = 1/5

y = -3(1/5) + 5

y = 4.4

Answer:

1123222

Step-by-step explanation:

Answer:

She forgot to make the 4 a -4

3x-2x-4=7

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Recall that

Amount = Principal + Interest

The formula is;

A = P(1 + r)^n

Where;

P= principal, n = time and r = rate

Hence;

P + I =  P(1 + r)^n

P + 193.03 = P(1.021)^2

P + 193.03 = 1.04P

P - 1.04P = -  193.03

-0.04 P =  -  193.03

P = 193.03/0.04

P = $ 4825.75

B) When A = $6000, n=?

From;

A=   P(1 + r)^n

6000 = 4825.75 (1.021)^n

6000/4825.75 = (1.021)^n

1.24 =  (1.021)^n

Taking logarithm of both sides;

log 1.24 = n log 1.021

n = log 1.24/log 1.021

n = 0.0934/0.009

n = 10 years

Step-by-step explanation:

y = mx + b. where m is the slope and b is the y intercept

y = 3/4x - 2

Answer:

The two triangles are related by A - S - A test of similarity , so the triangles are congruent.

Answer:

first step is to divide -12 by 6

Step-by-step explanation:

The first step would be to divide -12 by 6

-12/6 = -2

-2(-3) = 6

6 + 8 = 14

Step-by-step explanation:

cosθ = 15/17 and sinθ = -8/17

So, tanθ = sinθ / cosθ = -8/15 and cscθ = 1 / sinθ = -17/8

Answer:

c

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

√((8-2)^2 + (4-6)^2)

√ (36 + 4)

√40

6.3

Answer:

Step-by-step explanation:

A vertical reflection is given by the equation y=−f(x) and results in the curve being "reflected" across the x-axis. A horizontal reflection is given by the equation y=f (−x) and results in the curve being "reflected" across the y-axis. You can see that the reflections are presented in the terms of a function.

As for translations, the function would just increase or decrease based on the translations.  

In translation the graph of function moves certain distance and in reflection the graph of function reflected along the axis of reflection.

"It is a transformation in which the graph of function is moved from one location to another location without changing its size, shape or orientation."

"It is a transformation in which the graph of function is reflected along the line of reflection."

"It defines a relation between input and output values"

Consider a function f(x).

Translations in function f(x):

1) When function f(x) is transformed to f(x) + k, it means function f(x) is translated vertically up by 'k' units.

2) When function f(x) is transformed to f(x) - k, it means function f(x) is translated vertically down by 'k' units.

3) When function f(x) is transformed to f(x + k), it means function f(x) is translated horizontally left by 'k' units.

4) When function f(x) is transformed to f(x - k), it means function f(x) is translated horizontally right by 'k' units.

Now consider reflections in function f(x):

1) When function f(x) is transformed to -f(x) , it means function f(x) is reflected over X-axis.

2) When function f(x) is transformed to f(-x) , it means function f(x) is reflected over Y-axis.

Therefore, in translation the graph of function moves certain distance and in reflection the graph of function reflected along the axis of reflection.

Learn more about the function transformation here:

brainly.com/question/13810353

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Step-by-step explanation:

hmmmmmmmmm

Bots are not welcome here!

Answer:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]

Where θ is in QI.

And we want to determine sin(2θ).

First, note that since θ is in QI, all trig ratios will be positive.

Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.

Then by the Pythagorean Theorem, the opposite side to θ is:

[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]

So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.

We can rewrite as expression as:

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Using the above information, substitute. Remember that all ratios will be positive:

[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Answer:

The minimum weight resistance possible for a 240-pound man is 19.2 pounds.

Step-by-step explanation:

Since the U Gym provides weight resistance through adjustments of incline, and the minimum weight resistance is 8% of the weight of the person using the U Gym, to find the minimum weight resistance possible for a 240-pound man the following calculation:

240 x 8/100 = X

1,920 / 100 = X

19.2 = X

Thus, the minimum weight resistance possible for a 240-pound man is 19.2 pounds.

Answer:

1. 85 in squared

Work: b=17 h=10

17*1/2=8.5

8.5*10=85

2. 142.5 mm squared

Work:b=15 h=19

15*1/2=7.5

7.5*19=142.5

3. 110.5 mm squared

Work:b=17 h=13

17*1/2=8.5

8.5*13=110.5

4. 9km squared

Work:b=2 h=9

2*1/2=1

1*9=9

5. 924 mm squared

Work:b=77 h=24

77*1/2=33.5

33.5*24=924

6. 104.5 m squared

Work: b=19 h=11

19*1/2=9.5

9.5*11=104.5

Step-by-step explanation:

Answer:

1. 10x17=170

170/2=85in

2. 19x15=285

285/2=142.5mm

3. 13x17=221

221/2=110.5mm

4. 9x2=18

18/2= 9km

5. 24x77=1,848

1,848/2=924mm

6. 11x19=209

209/2=104.5m

Given:

The pair of similar triangles.

Base of smaller triangle = 10 in

Base of larger triangle = 14 in

To find:

The ratio of the perimeters and the ratio of the areas.

Solution:

Ratio of perimeter of similar triangles is equal to the ratio of their corresponding sides.

[tex]\text{Ratio of perimeters}=\dfrac{10\ in.}{14\ in.}[/tex]

[tex]\text{Ratio of perimeters}=\dfrac{5}{7}[/tex]

[tex]\text{Ratio of perimeters}=5:7[/tex]

The ratio of area of similar triangles is equal to the ratio of squares of their corresponding sides.

[tex]\text{Ratio of areas}=\dfrac{(10)^2}{(14)^2}[/tex]

[tex]\text{Ratio of areas}=\dfrac{100}{196}[/tex]

[tex]\text{Ratio of areas}=\dfrac{25}{49}[/tex]

[tex]\text{Ratio of areas}=25:49[/tex]

Therefore, the ratio of the perimeters is 5:7 and the ratio of the areas 25:49.

Answer:

[tex]f(x)=9*\frac{5}{3}^x[/tex]

Step-by-step explanation:

When x equals 0, that means a is going to be multiplied by 1 since any number to the power of 0 is 1, so [tex]f(0)=a=9[/tex]. When x equals 1, that means that [tex]f(1) = 9b=15[/tex], so [tex]b=\frac{15}{9} =\frac{5}{3}[/tex]. This means that the equation should be [tex]f(x)=9*\frac{5}{3}^x[/tex].

How much energy points you have on KA? I have 3, 736,486 points.

Answer:

48m²

Explanation:

since 3cm represents 4m, the width of the dining hall would be 4m. its length on the drawing is 9cm, which is 3 times of 3cm, so we can also multiply 4m by 3 to find the real length of the dining hall. this would give us 12m.

3cm : 4m

(multiply both by 3)

9cm : 12m

now, we can calculate the area of the dining hall using the equation 12m × 4m = 48m².

i hope this helps! :D

Answer:

B. 2 miles

Step-by-step explanation:

Find out how many total feet the student runs.

2,640 + 7,920 = 10560

10560 feet = 2 miles

Answer:

b

Step-by-step explanation:

its B cuz for every 5280 feet its 1 mile

Answer:

24cm

Step-by-step explanation:

6+6+6+6=24

12 is half so you should add 12 or multiply by 2

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 6/-5

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

a) .389

Step-by-step explanation:

Answer:

A real world situation could be: Holden is walking to school for his basketball game.

He lives 10 blocks from school. Holden walks 6 blocks in 4 minutes, but then realizes that he forgot his jersey. He runs back home in 2 minutes and spends 2 minutes finding his jersey at home. Finally, he runs 5 blocks every 2 minutes until he reaches school. And a good example/photo would be: (down below)

Step-by-step explanation:

I hope this helps! brainliest?

Answer:

[tex]the \: shaded \: area = \frac{28}{2} = 14 \: {in}^{2} [/tex]

Step-by-step explanation

so the total are is 28in². it tells you to find the shaded area of the triangle, which is half of the triangle

Answer:

Counting from the top:

fist option

fourth option

fifth option.

Step-by-step explanation:

Any set that has a multiplicative outcome, such that the total number of outcomes is 24.

Remember that if we have a combination of two events, one with N outcomes and the other with M outcomes, the total number of outcomes is:

M*N

This is the main thing we need to see.

Let's analyze each option:

1) flip a coin (2 outcomes)

  flip a coin again (2 outcomes)

  roll a 6 sided dice ( 6 outcomes)

total number of outcomes:

2*2*6 = 24

2) Selecting a number from 1 to 16 (16 outcomes) and rolling a dice of 8 sides (8 outcomes).

The total number of outcomes is:

8*16 = 128

We wanted only 24.

3) Selecting a number from the set {1, 3, 5, 7, 9} (5 outcomes)

   flip a coin (2 outcomes)

   flip the coin again (2 outcomes)

total number of outcomes:

2*2*5 = 20

We wanted 24, we can discard this.

4) Spin the thing (3 outcomes)

   roll an 8-sided dice (8 outcomes)

Total number of outcomes:

8*3 = 24

This is a correct option.

5) Select a card from A to D (4 outcomes)

Roll the thing (6 outcomes)

total number of outcomes:

6*4 = 24

This is a correct option.

6) Select a card from A to N {14 options}

   Roll the thing once (10 outcomes)

Total number of outcomes:

14*10 = 140

We wanted 24, so we can discard this option.

Then the correct options are:

first one, fourth one, and fifth one.