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Vlad [161]
3 years ago
13

Steven starts a savings account with $10,000. He earns 7% annual interest. How much will be in the account after 6 years. Round

to the nearest dollar. Thank you!
Mathematics
1 answer:
sveta [45]3 years ago
7 0

So the equation is A = P(1+rt)
A = 10,000(1+0.07*6)
A = 10,000(1+0.42)
A = 14,200.00

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Find the truth value in each statement (true or false). 1.) C, E, and D are coplanar. 2.) B and E are collinear.
MaRussiya [10]
You need to post the diagram that goes to this question. But here's a hint so you can do this on your own co planar means that the points are in the same plane and collinear means that the points are on the same line.
3 0
4 years ago
Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus. use the distance formula
riadik2000 [5.3K]
In order to prove this, we have to put the trapezoid to the coordinate system. In the attached photo you can see how it has to be put. The coordinates for the vertices of trapezoid written according to the midpoint principle. By using the distance between two points formula, we can find the coordinates for the vertices of the rhombus. 
D_{x} = \frac{-2b-2a}{2}=-b-a and D_{y}= \frac{2c+0}{2}=c. The coordinates of D is (-b-a, c)
E_{x} = \frac{-2b+2b}{2}=0 and E_{y}= \frac{2c+2c}{2}=2c. The coordinates of E is (0,2c)
Since we have the reflection in this graph, the coordinates of F is (b+a, c)
And the coordinates of G is (0,0).

Using the distance formula, we can find that 
DE= \sqrt{(-b-a)^{2}+ c^{2}}=\sqrt{(b+a)^{2} + c^{2}}
EF= \sqrt{(b+a)^{2} + c^{2} }
GF= \sqrt{(b+a )^{2} + c^{2} }
DG= \sqrt{(b+a)^{2}+ c^{2} 

Since all the sides are equal this completes our proof. Additionally, we can find the distances of EG and DF in order to show that the diagonals of this rhombus are not equal. So that it is not a square, but rhombus. 

6 0
3 years ago
Read 2 more answers
A contractor buys 16 yd of nylon carpet and 22 yd of wool carpet for $1902. A second purchase, at the same prices, includes 20 y
Sergio039 [100]

Answer:

$53

Step-by-step explanation:

Given that, two type of clothes nylon and wool carpet.

Let the price of one yard of nylon carpet = $x

Let the price of one yard of wool carpet = $y

Price for 16 yd of nylon carpet and 22 yd of wool carpet = $1902

Price for 20 yd of nylon carpet and 21 yd of wool carpet = $2033

Writing equations as per given statement:

16x+22y=1902 ...... (1)\\20x+21y=2033 ...... (2)

Here, we have to find the value of y.

By equation (1), we get:

16x = 1902 - 22y \\\Rightarrow x = \dfrac{1}{16}(1902-22y) ..... (3)

Putting the value from equation (3) to equation (2):

20 (\dfrac{1}{16}(1902-22y) ) + 21y =2033\\\Rightarrow 9510-110y + 84y = 8132\\\Rightarrow 26y=1378\\\Rightarrow \bold{y = 53}

Therefore, the cost per yard for the wool carpet is $<em>53.</em>

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3 years ago
Which of the following is a prime number between 40 and 50? A. 41 B. 45 C. 44 D. 49
Snowcat [4.5K]

Answer:

A.41

Step-by-step explanation:

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Answer: 2.87

Step-by-step explanation:

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