Sophie invested $93,000 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $170,500?

Answer:

B) Yes; POSN~KDAG; scale factor 5:4

Step-by-step explanation:

B) Yes; POSN~KDAG; scale factor 5:4

Same angles (If 3 are the same, the 4th is the same).

Comparing the 4 respective sides:

15/12=5/4

10/8=5/4

7.5/6=5/4

15/12=5/4

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT'S A COMPUTER PHONE AND TABLET VIRUS

Answer:

5

Step-by-step explanation:

Answer:

-5 9/40

Step-by-step explanation:

1)+4

2)-4

3) 2

4) i don't know

5)

Answer: (-2)²=4

-2²=-4

square root of 4 is 2

1 over the square root of 8 is -2

1 aquare root of -8 is 2,-2

Step-by-step explanation:plug them into calculator

Answer:

Step-by-step explanation:

hope it helps you have a good day

Answer:

27

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

so the slope is also known as the gradient in y=mx+c

Answer:

::::::::::::::::::::

(-5,1)

The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).

The parabola is represented by the equation y² + 4x - 2y + 21 = 0.

Take the coefficient of y, which is -2, divide it by 2, and square the result:

(-2/2)² = 1

Now, we add and subtract this value inside the parentheses to maintain the equation's balance:

y² - 2y + 1 + 4x + 21 - 1 = 0

Rearranging the terms, we have:

(y² - 2y + 1) + 4x + 20 = 0

Now, the terms inside the parentheses can be written as a perfect square:

(y - 1)² + 4x + 20 = 0

Setting (y - 1)² = 0,

(y - 1)² = 0

y - 1 = 0

y = 1

Substitute y = 1 back into the equation to find the x-coordinate of the vertex:

(1 - 1)² + 4x + 20 = 0

0 + 4x + 20 = 0

4x = -20

x = -5

Therefore, the vertex of the parabola is (-5, 1).

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Use the pic and solve the COS x-sin x/COS x+ sin x part

comment if there's something u don't understand

The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

tanx = 3/4        (x is an acute angle)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex]  ….(1)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex]  …(2)  

Divide (1) ÷ (2)

(cosx-sinx)/(cosx+sinx)  = (1/3)/(7/3) = 1/7

Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

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Answer:

2.7

Step-by-step explanation:

the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.  

Answer:

Step-by-step explanation:

A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t

is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the

nearest whole number, and do not include units.

Answer:

circumference =pi ×diameter

OR

pi × radius × 2

Answer:

[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

[tex]x = \frac{4}{5}[/tex]

Required

Find y

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

Substitute [tex]x = \frac{4}{5}[/tex]

[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]

[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]

Collect like terms

[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]

[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]

Split the surd

[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]

Rationalize

[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]

Take LCM and add

[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]

[tex]y = \frac{2\sqrt5+6}{5}}[/tex]

or solve as:

[tex]y = \frac{2*2.24+6}{5}}[/tex]

[tex]y = \frac{10.48}{5}[/tex]

[tex]y = 2.096[/tex]

Answer: a

Step-by-step explanation:

just took the test

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.

[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]

Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

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Answer:

32 yd²

Step-by-step explanation:

because 8 • 4 is 32 so it's 32 yd²

Answer:

A = 32 yds^2

Step-by-step explanation:

We know the formula for the area of a rectangle is

A = lw  where l is the length and w is the width

A = 4 yds * 8 yds

A = 32 yds^2

Answer:

C

Step-by-step explanation:

The net, if you imagine it folded up, will look like a long box.

Because all the dimensions are not equal, the figure cannot be a cube. Both square and rectangular pyramids have 5 faces, unlike this net.

A net of a rectangular prism, however, will have different dimensions for [tex]l[/tex] and [tex]w[/tex], and have 6 faces. So, the answer is C, rectangular prism.

Good luck ^^

The three-dimensional figure represented by the net shown below is a rectangular prism.

Option C is the correct answer.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

From the figure,

We see that it is an open rectangular prism.

All the open sides are rectangular in shape.

If we fold all the sides it will form a rectangular prism.

Thus,

The three-dimensional figure represented by the net shown below is a rectangular prism.

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Answer:

1000 / 100

Step-by-step explanation:

Answer:

ff

Step-by-step explanation:

Answer:

A) (- 3, -4)

Step-by-step explanation:

edge 2021

Answer:

A) (-3, -4)

Step-by-step explanation:

Answer:

b, c and e

Step-by-step explanation:

Given

See attachment for functions

Required

Select all statements that contain both functions

First, calculate the rate (slope) of both functions.

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Alec's

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (2,9)[/tex]

So, the slope is:

[tex]m = \frac{9 - 3}{2 - 0}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

For Beth's

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (12,38)[/tex]

So, the slope is:

[tex]m = \frac{38 - 17}{12 - 5}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m =3[/tex]

Beth and Rec have the same slope. Hence, they save at the same rate.

Next, determine the amount they started with.

This implies that we calculate y when x = 0

From Alec's graph.

[tex](x,y) = (0,3)[/tex]

Alec's initial savings is 3

For Beth's savings, we make use of slope formula.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (0,y)[/tex]

So, we have:

[tex]3 =\frac{y - 17}{0 - 5}[/tex]

[tex]3 =\frac{y - 17}{ - 5}[/tex]

[tex]y - 17 = -15[/tex]

[tex]y = 17 -15[/tex]

[tex]y = 2[/tex]

Beth's initial savings is 2

Hence, Alec started with more money

Next, is to determine who has more money after 10 days.

Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.

The difference (d) is calculated as:

[tex]d = 3 - 2[/tex]

[tex]d = 1[/tex]

Hence, Alec will have $1 more than Beth after 10 days

Answer:

its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.

Step-by-step explanation:

Answer:

7x + 3

Step-by-step explanation:

Let's simplify step-by-step.

8x + 7 − x − 4

= 8x + 7 + −x + −4

Combine Like Terms:

= 8x + 7 + −x + −4

= (8x + −x) + (7 + −4)

= 7x + 3

Answer:

= 7x + 3

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

Answer: 6 days too be exact

Step-by-step explanation:

Answer:

33.333 months

Step-by-step explanation:

25,000-5,000=20,000

20,000/600=33.333

If he payed $5,000 upfront, the he only has $20,000 remaining to pay. If he is paying $600 a month then you divide the $20,000 by the $600 to 33.333 months. Hope this helps

Answer:

Since, the baker use 5cups for 75cookies.Then for 30 cookies number of cups=

=75/5

=15.

Therefore no. 1cups for 15cookies.so,for 30 cookies=

=15*2

=30.

So, 2cups are needed for 30cookies

Answer:

Step-by-step explanation:

First divide 6 from the left size so it gets cancelled.

Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6

Which becomes (t + 12) = 19

Now, (t + 12) - 12 = 19

Therefore, t = 19 - 12

Answer: t = 7

(whatever you do to one side, most be done to the other side too).

To check,

6(t+12)=114

6(7+12)=114

Solve brackets first, 6(19)=114

114=114

The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

As per the given data:

To apply distributive property in  6 (t + 12) = 114

Distributive property: A (B + C) = A × B + A × C

Now for, 6 (t + 12) = 114

First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:

6 × t + 6 × 12 = 114

6t + 72 = 114

6t = 114 - 72

6t = 42

t = (42/6) = 7

Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

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Answer:

For 35 its C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Area=L+L+B+B

L=2

B=1

So, L+L+B+B=6

204/6=34

So, it's 34 ft, which is A.

Answer:

y = 0, -2

Step-by-step explanation:

Factor out the common term 3y.

[tex]3y( {y}^{2} + 4y + 4) = 0[/tex]

Rewrite y² + 4y + 4 in the form of a² + 2ab + b², where a = y and b = 2.

[tex]3y( {y}^{2} + 2(y)(2) + {2}^{2} ) = 0[/tex]

Use square sum: (a + b)² = a² + 2ab + b².

[tex]3y(y + 2) ^{2} = 0[/tex]

solve for y.

y = 0, -2.

therefor, the answer for this equation is 0, - 2.

Answer:

Honestly I have no idea what is going on in this passage or whatever it is.

Step-by-step explanation: