How much interest does a $407 investment earn at 6% over seven years?

Answer:

f^−1(x)=2^x/4

Step-by-step explanation:

The inverse of the function will be;

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = log₂ (4x)

Now,

Since, The function is,

⇒ y = log₂ (4x)

Find the inverse of the function as;

⇒ y = log₂ (4x)

⇒ [tex]2^{y} = 4x[/tex]

⇒ [tex]\frac{2^{y}}{4} = x[/tex]

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Thus, The inverse of the function y = log₂ (4x) is,

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Learn more about the function visit:

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For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Answer:

a and b

Step-by-step explanation:

Answer: Los dos números son 8 y 5

Explanation:

Considere los dos números como

x

and

y

A partir de los datos dados, escribimos:

x

−

y

=

3

x

+

y

=

13

A partir de la primera ecuación, determinamos un valor para

x

.

x

−

y

=

3

agregar

y

a ambos lados.

x

=

y

+

3

En la segunda ecuación, sustituya

x

with

(

y

+

3

)

.

x

+

y

=

13

(

y

+

3

)

+

y

=

13

Abra los corchetes y simplifique.

y

+

3

+

y

=

13

2

y

+

3

=

13

Sustraer

3

de cada lado.

2

y

=

10

Divide ambos lados por

2

.

y

=

5

En la primera ecuación, sustituya

y

con

5

.

x

−

y

=

3

x

−

5

=

3

Agregar

5

a cada lado.

x

=

8

Step-by-step explanation:

Answer:

21:  37

They are the opposite side exterior angles

22: 40

23:  126

They are the opposite side exterior angles

24: 1

25: 12

90 - 48 = 42

42 = 3x + 6

36 = 3x

12 = x

26:   41

180 - 139 = x

41 = x

27:   140

180 - 40 = 140

28: 68

90 - 22 = 68

29: False

Complementary angles add up to 90 degrees

Hope this helps!

Answer:

Which part of the story's plot structure does this sentence illustrate? I think its B. Climax

Answer:

Step-by-step explanation:

100 G

1 L

4 Kg

40 ML

Answer:

100 ml's of butter 1 g of milk 4 l of potatoes and 40 kg's of sour cream

Step-by-step explanation:

pls mark me brainlyest!

This might help

total surface area Stot = 42.5 ft2

lateral surface area Slat = 30 ft2

top surface area Stop = 6.25 ft2

bottom surface area Sbot = 6.25 ft2

but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho

Answer:

42.5

Step-by-step explanation:

To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.

Top and bottom face:

First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5

Left, Right, front, and back face:

Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.

Final Step:

Now, just add all the areas of the faces calculated to recieve the answer of 42.5

30 + 12.5 = 42.5

Answer:

180

Step-by-step explanation:

Answer:

the answer you are looking for is B

Answer:

The x graph

Step-by-step explanation:

The x graph

Answer: D

Step-by-step explanation:

Answer:

d = 711 miles

Step-by-step explanation:

The speed s of the car is given by :

[tex]s=3\sqrt{d}[/tex] ...(1)

Where

d is the stopping distance

We need to find the stopping distance of a car travelling at 80 mph.

Rearranging equation (1) for d.

[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]

or

d = 711 miles

So, the required stopping distance is 711 miles.

Answer: bank R for 1 year

Step-by-step explanation:

Given

Principal deposit is [tex]P=\$600[/tex]

Bank Q offers 1% interest compounded annually

Bank R offers 1.5% simple interest annually

For Bank Q, Compound interest is given by

[tex]\Rightarrow P[1\frac{R}{100}]^t-P[/tex]

for 1 year it is

[tex]\Rightarrow 600[1+\frac{1}{100}]-600=\$6[/tex]

For bank R, simple interest is

[tex]S.I.=\dfrac{P\times R\times T}{100}[/tex]

for 1 year it is

[tex]\Rightarrow S.I.=\dfrac{600\times 1.5\times 1}{100}=\$9[/tex]

Clearly, bank R offers more interest for 1 year

Answer:

Sarah was driving faster by 10 mph.

She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.

Answer:

1.3%

Step-by-step explanation:

Answer:314

Step-by-step explanation:

V=pi r squared

V= 3.14x10 squared

10 squared= 100

V=3.14x 100

V= 314

Answer:

96 combinations

Step-by-step explanation:

when you get a question like this you multiply all the numbers and you get total number of combinations possible

Answer:

36 outcomes

As this a sandwich shop it uses bread for all meats.

3 x 4 x 3 = 36

Because 3 x 4 = 12

As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this  

Step-by-step explanation:

B1  M1    <  B1 M2 <  B1 M3  < B1 M4  < B1 M1 T1  < B1 M1 T2 < B1 M1 T3  to B1 M1 T8 etc = 12 combinations step 1

B2   M1  repeat above with B2 to replace B1 above  = 12

B3   M1  repeat above with B3 to replace B1 above = 12

As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96

Bread x middle value then outcome x toppings = 36 outcomes

Answer:

The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°

Step-by-step explanation:

The number of of equal sides in a regular 13-gon = 13 sides

The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;

θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]  

By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)

Step-by-step explanation:

The given data are;

Bakery A

[tex]\overline x_1[/tex] = 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

[tex]\overline x_2[/tex] = 1,711 cal

s₂ = 192 cal

n₂ = 10

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]

[tex]\hat \sigma[/tex] ≈ 178

Therefore, we get;

[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]

Which gives;

[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

Answer:

its c

Step-by-step explanation:

Step-by-step explanation:

area of figure = 5x² + 3

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Answer:

9 square feet

Step-by-step explanation:

A = bh / 2

b = 3

h = 6

A = 6 * 3 / 2 = 9

Answer:

besti you didnt put the statement

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

Answer:

i hope you do too

Step-by-step explanation:

a fidget spinner? HJBDH

Answer:

False

Step-by-step explanation:

diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles.