Isaac invested $77,000 in an account paying an interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 12 years?​

Answer:

For the polygons to be similar, both these ratios must be equal which is the required scale factor. So, the given polygons are not similar.

Step-by-step explanation:

Answer:

a. not similar

b. similar, ABCDE ~ SRVUT, scale factor: 2

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,

[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]

NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.

According to the question ,

Coordinate of C = (2 , -1)

Coordinate of D = (5 , 3)

Using distance formula ,

[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]

[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

Answer:

x is corresponding with the angle that equals 130 so it equals 130 too

Step-by-step explanation:

Answer:

If you mean he starts at 1 on the Y axis (vertical line), then the answer is (1, 3). If you mean he starts at 1 on the X axis (horizontal line), then the answer is (0, 4)

Answer:

4 and 4 away

Step-by-step explanation:

If you start at one on the number line and go to the right you'll end up on 4 because if you start from one and then add 3 that equals 4.

Now if you were to figure out how FAR he is away from 0 you have to start at for and figure out what number you have to minus 4 by to get zero which is 4 because 4-4=0

Hope this helps :)

Answer:

Both are correct

Step-by-step explanation:

Rico got 6/8

Nita got 3/4

Equivalent fraction

2/2 x Nita point

2/2 x 3/4

6 / 8

So,

Nita point = Rico point

6/8 = 6/8

Answer:

Both are corre

Step-by-step explanation:

Answer:

(x – 8)2 + (y – 10)2 = 36

Step-by-step explanation:I took the test

The equation of a circle with center at  [tex](8, 10)[/tex]  and radius [tex]6[/tex] will be  

[tex](x-8)^2+(y-10)^2=36[/tex]  which is given in option [tex](3)[/tex] .

Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where  [tex](h,k)[/tex]  is the center and  [tex]r[/tex]  is the radius.

We have,

The center at  [tex](8, 10)[/tex]  and radius is [tex]6[/tex] .

i.e.

[tex]h=8[/tex]

[tex]k=10[/tex]

[tex]r=6[/tex]

So, using the above given equation,

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

Putting the above values in this equation

We get,

[tex](x-8)^2+(y-10)^2=(6)^2[/tex]

i.e.

[tex](x-8)^2+(y-10)^2=36[/tex]

This is the equation of a circle which is derived using the above given equation.

Hence, we can say that the equation of a circle with center at  [tex](8, 10)[/tex]  and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex]  which is given in option [tex](3)[/tex] .

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Answer:

see explanation-

Step-by-step explanation:

6 bagles is $2.50

and the the amount of bagles for $50 is 40 as 4*12 = 48

Answer:

1. $2.50

2. should be 120 bagels

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

Answer:

package with 2.09 pounds

Step-by-step explanation:

When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.

to round 2.56 to the nearest whole number equals 3.

While to round 2.09 to the nearest whole number equals 2.

Because Emma needs 2 pounds, she would go with 2.09 pounds

Answer: See explanation

Step-by-step explanation:

Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:

3x = 45

x = 45/3

x = 15

Therefore, 15 3-person team can be formed.

Answer:

C spinner with 7 equal sides

Step-by-step explanation:

Answer:

6.  162

7. c

Step-by-step explanation:

Answer:

6. 162

7. C

Step-by-step explanation:

6. Replace the values of a and b into the expression:

8a + 6b = 8(12) + 6(11)

             = 96 + 66

             = 162

7. The distributive property states that whatever is outside a bracket must be multiplied to ALL terms in the brackets:

5(2f+4) = (5 × 2f) + (5 × 4)

            = 10f + 20

Answer: Y=105 Z=28

Step-by-step explanation: i believe these are correct.

Answer:

Step-by-step explanation:

we will multiply first

-4x+16=12

-4x=12-16

-4x=-4

x=1

Step-by-step explanation:

Here is your answer

Hope it helps you

Answer:

The x- and y-coordinates are switched.

Step-by-step explanation:

Given that:

Point L plotted by Raj is in a coordinate plane.

Point L is 1.5 units to the left and is 4 units up.

As per Raj, the point is (4, -1.5).

Kindly refer to the general coordinate plane diagram in the answer area.

The origin is at (0,0) which is our reference point for plotting any point.

When we move left on the coordinate plane from origin, the [tex]x[/tex] coordinate will decrease i.e. will become negative.

When we move right on the coordinate plane from origin, the [tex]x[/tex] coordinate will increase i.e. will become positive.

When we move down on the coordinate plane from origin, the [tex]y[/tex] coordinate will decrease i.e. will become negative.

When we move up on the coordinate plane from origin, the [tex]y[/tex] coordinate will increase i.e. will become positive.

Now, as per question statement, 1.5 units to the left.

i.e. [tex]x[/tex] = -1.5

4 units up.

i.e. [tex]y[/tex] = 4

Therefore, the point will be (-1.5, 4).

So, the answer is:

The x- and y-coordinates are switched.

Answer:

-x -y changed

lolololol

Step-by-step explanation:

Answer:

1.94 + 24x = 43.22 ;

1.72

Step-by-step explanation:

Given :

Cost of orange = 1.94

Pack of juice = 24

Total amount spent = 43.22

Cost of orange + (number of juice * cost per bottle) = total amount spent

Let cost per bottle = x

1.94 + (24 * x) = 43.22

1.94 + 24x = 43.22

24x = 43.22 - 1.94

24x = 41.28

x = 41. 28 / 24

x = 1.72

Answer:

b+24

Step-by-step explanation:

Addition is one of the four fundamental mathematical operations. The given phrase can be written in the form of an expression as b+24.

Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. Therefore, The given phrase can be written in the form of an expression as,

Sum of a number b and 24 → b+24

Hence, The given phrase can be written in the form of an expression as b+24.

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Answer:

3 pages/minute

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

a hour is 60 minutes so half of that is 30 30÷90=3

Answer:

$406

Step-by-step explanation:

Step one:

given data

Cakes and More baked 1,450 chocolate chip cookies

The bakery sold them in boxes of 25 cookies each

The number of boxes will be

1450/25

=58  boxes

Step two:

The cost per box is $7

hence the cost of 58 boxes will be

=7*58

=$406

Answer:

Jay has $72

Step-by-step explanation:

$87-$15=$72

Answer: Jay has $72.

Step-by-step explanation: It's basically a subtraction problem. You are subtracting 87-15 and getting 72.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

mp-(m+2)

Step 2

(-6)(3)-((-6)+2)  Substitute m for -6 and p for 3

Step 3

(-6)(3)-((-6)+2)  Simplify

answer

-14

Hope this helps

Answer:

3(5x-6)

Step-by-step explanation:

I hope this helps you out, let me know if you need to know how it's solved.

Answer:

15x-18

Step-by-step explanation:

[tex]6(4x-3)-9x\\24x-18-9x\\15x-18[/tex]

Answer: hope it helps!

Step-by-step explanation:

g/3 + 11=25

             - 11

g/3 = 14/3

g= 4.66666666667 (rounded to 5)

Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Answer:

1/2

Step-by-step explanation:

look at all the numbers then look at only the negatives which are 2 then count the positive ones which are 4 from those numbers you get 2/4 simplify it, and you get 1/2.

Answer:

4cm

Step-by-step explanation:

The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,

                                     V = πr²h

where V is volume, r is the radius, and h is the height.

Substituting the known values from the given,

                                 176π cm³ = πr²(11 cm)