heeeeeeeeeeeeeeeeelp

Answer:

Money invested in Canada saving bond is $6000.

Money invested in provincial government bond is $9000.

Step-by-step explanation:

First of all, let us have a look at the formula for simple interest:

[tex]SI = \dfrac{P\times R\times T}{100}[/tex]

Where P is the amount invested

R is the rate of interest and

T is the time

We are given here, 2 bonds in which a total of $15000 were invested

Let money invested in Canada saving bond  [tex]P_1[/tex], = $x

Rate of interest, [tex]R_1=4\%[/tex]

Time, [tex]T_1 = 1\ year[/tex]

[tex]SI_1 = \dfrac{P_1\times R_1\times T_1}{100}\\\Rightarrow \dfrac{x\times 4\times 1}{100} ..... (1)[/tex]

Let money invested in provincial government bond [tex]P_2[/tex], = $(15000-x)

Rate of interest, [tex]R_2=5\%[/tex]

Time, [tex]T_2 = 1\ year[/tex]

[tex]SI_2 = \dfrac{P_2\times R_2\times T_2}{100}\\\Rightarrow \dfrac{(15000-x)\times 5\times 1}{100} ..... (2)[/tex]

We are given that

[tex]SI_1+SI_2=$690\\\text{Using equations (1) and (2):}\\\\\Rightarrow \dfrac{4x}{100} + \dfrac{(15000-x)\times 5}{100} = 690\\\Rightarrow 4x + (75000-5x) = 69000\\\Rightarrow x = \$6000[/tex]

Money invested in Canada saving bond = $6000

Money invested in provincial government bond = $15000-$6000 = $9000

Answer: Look at the picture :)

The pairs of rectangles that are similar polygons are those in;

1 and 4

For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.

In question 1;

Ratio of corresponding left sides = 1225/3.5 = 350

Ratio of corresponding bottom sides = 144/1.2 = 120

Ratios do not correspond and as such they are not similar polygons.

In question 2;

Ratio of corresponding left sides = 13/5.2 = 2.5

Ratio of corresponding bottom sides = 5/2.5 = 2

Ratios do not correspond and as such they are not similar polygons.

In question 3;

Ratio of corresponding left sides = 18/4.5 = 4

Ratio of corresponding bottom sides = 6/1.5 = 2l4

Ratios correspond and as such they are similar polygons.

In question 4;

Ratio of corresponding left sides = 40/8 = 5

Ratio of corresponding bottom sides = 15/3 = 5

Ratios correspond and as such they are similar polygons.

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Answer:

Approximately 10

Step-by-step explanation:

19 / 5 Approximately 4

4 * 4 = 16

16 * 4 / 64

64 / 6 * = Approximately 10 / 10.6 ish

Actual Answer is 10.133

Answer:

x> 1/6

Step-by-step explanation:

-2(8x – 4)< 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x +8+16x < 2x+16x+5

8 < 18x+5

Subtract 5 from each side

8-5 < 18x

3 < 18x

Divide each side by 18

3/18 < 18x/18

1/6 < x

Answer:

[tex]x > \frac{1}{6} [/tex]

First answer is correct.

Step-by-step explanation:

[tex] - 2(8 x - 4) < 2x + 5 \\ - 16x + 8 < 2x + 5 \\ - 16x - 2x < - 8 + 5 \\ - 18x < - 3 \\ \frac{ - 18x}{ - 18} < \frac{ - 3}{ - 18} \\ x > \frac{1}{6} [/tex]

Answer:

56x + 126

Step-by-step explanation:

Step 1: Distribute

44x + 143 + 12x - 18

Step 2: Combine like terms

56x + 126

[tex]\text{Simplify the expression}\\\\11(4x+13)+12x-17\\\\\text{Use the distributive property}\\\\44x+143+12x-17\\\\\text{Combine like terms}\\\\\boxed{56x+126}[/tex]

Answers:

Option two, 5[tex]y^{4}[/tex](2[tex]y^{5}[/tex]) = 10[tex]y^{9}[/tex] and option 4, 5[tex]x^{3}[/tex](6[tex]x^{4}[/tex]) = 30[tex]x^{7}[/tex]

Step-by-step explanation:

O1 + O3 = incorrect, the powers have been multiplied together. Laws of indices suggest that if you are multiplying powers together, you must add them, not do 4 x 5 or 2 x 2.

Please remember:

2y squared x 3y cubed = 6y to the power 5

Answer:

Solution(s) : Option # 2 and # 4

Step-by-step explanation:

One quick way to identify which solutions are accurate would be adding the exponents of the terms provided ( b, y, c etc ). As you can see in each example two expressions are being multiplied, and hence the exponents of each term are being added.

Therefore the second and fourth example are correct, as 4 + 5 = 9, the co - efficient of y. And 3 + 4 = 7, the co - efficient of x.

Check :

[tex]5y^4\left(2y^5\right)[/tex] = [tex]5\cdot \:2y^{4+5}[/tex] = [tex]5\cdot \:2y^9[/tex] = [tex]10y^9[/tex]

[tex]5x^3\left(6x^4\right)[/tex] = [tex]5\cdot \:6x^{3+4}[/tex] = [tex]5\cdot \:6x^7[/tex] = [tex]30x^7[/tex]

Answer:

f(x)= 20,000[tex](0.85)^{x}[/tex]or 20,000 (0.85) to the power of x.

Step-by-step explanation:

 Okay, so based on the question, we know that the car is depreciates its value every year. In case you don't know, when something depreciates, it is becoming smaller or less in value. It comes to a point where the item becomes worthless. Recall, that the formula for an exponential function is y= a(b) to the power of x. A is your initial value or your y-intercept. B is the multiplicative rate of change. Lets put 20,000 for a because that is value of the car that terrace purchased before any depreciation happened. Since it says that it is decaying every year, we don't want to graph how much it is decaying, we want to graph what the value is of the car. So, do 100 percent minus 15 which is 85 percent. You need to change it into decimal, so it is 0.85. Therefore, there is your function.

Hope this helps!

Step-by-step explanation:

This is the answer of this question.

Answer:

-374

Step-by-step explanation:

We know that a₁ = 14 and the common difference = -4 so the explicit rule is aₙ = 14 + (n - 1) * (-4) = -4n + 18. a₉₈ = -4 * 98 + 18 = -374.

Answer:

Brainliest!!!!

Step-by-step explanation:

the equation is this...

y = -4x + 14

97 x -4 = -388

-388 + 14 = -374

you might wonder why I did 97... that is becuase 14 is the first term

Answer:

Angle x measures 64 degrees and Angle y also measures 64 degrees. X is 11. The value of y is also 11.

Step-by-step explanation:

Alright, so this triangle is an isosceles triangle since there are lines on two sides meaning they are congruent to each other. So, if the sides are congruent, then the angles are also congruent. Angle y is congruent to angle x. First, lets find what they measure totally. Since they are congruent, we can write the equation with 2x+angle w which is 52=180 because the sum of all angles in a triangle is 180. Subtract 52 from both sides 2x=132 divide both sides by 2, and you get 64. You found what angle x and y equal. Now you can find what the value of x and y. For finding x, 4x+20=64 and for y, 6y-2=64. Isolate each variable, and you get 11 for both the value of x and y.

Answer:

−8, 19

1, −8

-5, 10

Step-by-step explanation:

The points that are on the perpendicular bisector of the given segment is (-5, 10)

Perpendicular bisector is defined as a line that divide an angle into  two equal parts at 90 degrees.

The standard equation of a line in point-slope form is expressed as

y-y₁ = m(x-x₁)

First, we need to get the equation of the line using the coordinates (-20, 0) and (10, 15)

Get the slope of the line

m = 15-0/10-(-20)

m = 15/30

m = 1/2

The slope of the line perpendicular to the line is -2

Using the point (-5, 10) on the line, get the equation in the point-slope form:

y - 10 = -2(x + 5)

y - 10 = -2x - 10

y + 2x = -10 + 10

y + 2x = 0

y = -2x

To check which points are on the perpendicular bisector of the given segment, hence;

For the coordinate (-8, 19)

19 = -2(-8)

19 ≠ 16 (This is not a solution)

For the coordinate (1, -8)

-8 = -2(1)

-8 ≠ -2 (This is not a solution)

For the coordinate (-5, 10)

10 = -2(-5)

10 = 10 (This is a solution)

Hence, the point that is on the perpendicular bisector of the given segment is (-5, 10)

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Answer:

The equations are: [tex]x+ y = 30[/tex]  and  [tex]x = 3y[/tex].

Step-by-step explanation:

We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.

Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].

and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].

Now, there are two conditions stated by her trainer;

                           [tex]x + y = 30 \text{ minutes}[/tex]

                                [tex]x = 3y[/tex]

So, the equations are: [tex]x+ y = 30[/tex]  and  [tex]x = 3y[/tex].

These equations can be solved either using the substitution method or the elimination method.

Answer:

25

Step-by-step explanation:

The correct value can be calculated by doing (b/2)²

In this expression, it would be (-10/2)²

Which equals 25

Answer:

x^2 -10x+25

Step-by-step explanation:

Take the coefficient of x

-10

Divide by 2

-10/2 =5

Square it

5^2 =25

Add this to make a perfect square trinomial

x^2 -10x+25

Answer: $20

Step-by-step explanation:

Here os the correct question:

Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume?

Let the original price of the perfume be y.

Since we are told that 25% is off, that means that 25% has been deducted from the original price. This can be written as:

y - (25% of y) = $15

y - (25/100 × y) = $15

y - 0.25y = $15

0.75y = $15

Divide both side by 0.75

0.75y/0.75 = $15/0.75

y = $20

The original price of the perfume is $20

Answer:

A.

Step-by-step explanation:

When you simplify the equation down by getting rid of (x + 1) (and that creates a hole in the graph), you should end up with A as your answer.

Answer:

x = 17

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

5x-18 + 4x+45 = 180

Combine like terms

9x +27 = 180

Subtract 27 from each side

9x+27-27 =180-27

9x =153

Divide by 9

9x/9 = 153/9

x =17

Answer:

A=L*W

Let w be width

L=(w+6)

40=(w+6)*w

40= w^{2} +6w

w^{2} +6w-40=0

w^{2}+10w-4w-40=0  

w(w+10)-4(w+10)=0

(w-4)(w+10)=0

w=4

Length= 10 units

Width=4 units

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² + 12x + 11 = 0 ← in standard form

(x + 1)(x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 11 = 0 ⇒ x = - 11

The x- intercepts are x = - 11 and x = - 1

To find the y- intercept let x = 0, that is

f(0) = 0² + 12(0) + 11 = 0 + 0 + 11 = 11

The y- intercept is 11

Answer:

[tex]g_{n}=g_{n-1} *-3[/tex]

Step-by-step explanation:

A recursive formula is [tex]g_{n}=g_{n-1} *r[/tex].  N is the number of terms and r is the rate of change.  R here equals -3 because you are multiplying by -3 eachtime.  Therefore, the recursive formula is [tex]g_{n}=g_{n-1} *-3[/tex]

Answer:

ok,just substitute the x for -1

3x-5=6x-2

3(-1)-5=6(-1)-2

-3-5 = -6-2

-8 = -8

TRUE

So,the solution is correct.-1 is the correct solution

I hope this help,Please give me the brainliest

Step-by-step explanation:

Answer:

Area=19

perimeter=21

Answer:

c

Step-by-step explanation:

Answer:

The exponential grows at approximately four times the rate of the quadratic.

Answer:

35

Step-by-step explanation:

We first need to find the missing side of the base triangle.  

15^2 - 9^2 = x

144 = x^2

x = 12

Then, we can use the same formula (Pythagorean theorem) to find BD.  

37^2 - 12^2 = x

1225 = x^2

x = 35

Answer:

20x+21y+14

Step-by-step explanation:

Combine like terms:

150x-80y+50-50x-25y+20=

100x-80y+50-25y+20=

100x-105y+50+20=

100x-105y+70

100x-105y+70 can be divided by 5 and get 20x+21y+14.

Answer:a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).

  y = a(x -h)^2 +k

has leading coefficient "a" and vertex (h, k).

__

f(x) = 1/3(x +5)^2 +7

  vertex: (-5, 7), opens downward

The vertex is above the x-axis, so there are two real roots.

__

f(x) = -5(x -3)^2

  vertex: (3, 0), opens downward

The vertex is on the x-axis, so there is one real root.

Answer:

y+6 = -5/4(x-8)

Step-by-step explanation:

The point slope form of the equation of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y --6 = -5/4 ( x - 8)

y+6 = -5/4(x-8)

Answer:  D) reflection over the x-axis, vertical shrink by a factor of 7/8, horizontal shift 3 units to the left, and vertical shift 3 units up.

Step-by-step explanation:

[tex]Consider\ f(x)=Ae^{Bx-C}+D\qquad where[/tex]

[tex]f(x)=e^x\\\\g(x)=-\dfrac{7}{8}e^{x+3}+3[/tex]

→ A = -(7/8)

   The negative sign represents a reflection across the x-axis.

   (7/8) < 1 so it is a vertical shrink by a factor of (7/8)

→ C = -3       x +3 = x - (-3)

   This is a horizontal shift 3 units to the left.

→ D = +3

   This is a vertical shift 3 units up.

The general form of the equation of the circle will be x² + y² − 8x − 4y + 11 = 0.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

The standard form of the equation of a circle is (x − 4)² + (y−2)² = 9

Then the general form of the equation of the circle will be

x² + 4² − 8x + y² + 2² − 4y = 9

      x² + y² − 8x − 4y + 20 = 9

        x² + y² − 8x − 4y + 11 = 0

Then the correct option is A.

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Answer: x=-1.9

Step-by-step explanation:

[tex]5x+2x=7x[/tex]

[tex]7x+18=5[/tex]

-18 on both sides

[tex]7x=-13[/tex]

divide 7 on both sides

[tex]x=-1.9[/tex]

Answer

solution

[tex]5x + 18 + 2x = 5 \\ or \: 5x + 2x + 18 = 5 \\ or \: 7x + 18 = 5 \\ or7x = 5 - 18 \\ or \: 7x = - 13 \\ \: x = - \frac{13}{7} [/tex]

X=-1.9

hope this helps..

Good luck on your assignment...