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Tamiku [17]
3 years ago
11

Vanessa invested $2,500 into an account that will increase in value by 3.5% each year. Write an exponential function to model th

is situation, then find the value of the investment after 20 years. Using the word problem above, what number goes in the "a"position of the formula?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0
$2,500•$35•20 years
A= $1,750,000
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Use the figure below for Exercises 1-8. Note that RN pierces the plane at N. It is not coplanar with V.
Serga [27]

Answer:

1. Two segments are MC and AX

2. Point N

3. Three collinear points are points A, point N and point X

4. Two other names for V are quadrilateral and rectangle

5. No N, M, and X are in a different plane from R

6. Two rays are ray NR and ray NA

7. The pair of opposite rays with end point N are ray NA and ray NX and ray NM and ray NC

8. Three lines are shown in the figure

Step-by-step explanation:

1) A segment is a line portion with two end points

2) A point marks a position

3) Collinear points are points on the same line

3) A quadrilateral is a four sided figure while rectangle has 90° interior angles

4) A ray is an line extending from a point without ending

5) Opposite rays are rays extending from the same point but in opposite directions

6) A line is a straight one dimensional geometric figure  that has no width but infinite number of points extending without end in both directions

4 0
2 years ago
Find the values of x and y that make these triangles congruent by the HL Theorem.
RideAnS [48]

According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

By using equation (1) next step is to plug in y+1 for x in equation (2). So,

2 ( y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3 By using distribution property.

2y + 5 = 3y + 3

2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.

2y = 3y - 2

2y - 3y = -2 Subtract 3y from each sides.

-y = -2

So, y=2

Next step is to plug in y=2 in equation (1) to get the value of x. Hence,

x= 2+1

=3

So, x=3 and y=2 make these triangles congruent.

So, the correct choice is 3. x = 3, y = 2.

7 0
2 years ago
Aly's science class was looking at bacteria through a microscope. Aly's teacher said some bacteria can be as small as 0.00365 cm
Thepotemich [5.8K]

Answer:

The answer is 3.65 x 10^3 power.

Step-by-step explanation:

In scientific notation, you need only the one's place, so 36.5 would not work. I hope this helps, I know this is a day late and you probably figured it out, but just in case you didn't, here is the answer :)

8 0
2 years ago
Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars
MArishka [77]

Answer:

Total = \$5.94 ---- in dollars

Total = 594\ cents ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

Weight = 2\frac{3}{4}\ lb

Amount = \$0.76 per pound

Grapes

Weight = 2\frac{3}{4}\ lb

Amount = \$1.40 per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

Total_{Pears} = 2\frac{3}{4} * \$0.76

Convert fraction to decimal

Total_{Pears} = 2.75 * \$0.76

Total_{Pears} = \$2.09

For Grapes

Total_{Grapes} = 2\frac{3}{4} * \$1.40

Convert fraction to decimal

Total_{Grapes} = 2.75 * \$1.40

Total_{Grapes} = \$3.85

Next, we add both amounts together to get the total amount spent in dollars.

Total = Total_{Pears} + Total_{Grapes}

Total = \$2.09 + \$3.85

Total = \$5.94

Multiply by 100 to convert this amount to cents

Total = 5.94 * 100\ cents

Total = 594\ cents

And it can be represented as dollars and cents as:

5 dollars 94 cents

8 0
3 years ago
Find the sum of the sequence. 45+46+47+48+...+108
Anna11 [10]
We know, S = n/2 [ a + l ]
Here, a = 45
l = 108

Calculation of n:
a(n) = a + (n - 1)d
108 = 45 + (n - 1)1
108 - 45 = n - 1
63 + 1 = n
n = 64

Now, substitute in the expression:
S = 64/2 [ 45 + 108 ]
S = 32 [ 153 ]
S = 4896

In short, Your Answer would be 4896

Hope this helps!
7 0
3 years ago
Read 2 more answers
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