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lara [203]
3 years ago
6

Write an expression in simplest form to represent the area of the shaded region 3x+2 2x 3x 4x

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0
12x+2

explication:
2x+3x= 5x
5x+3x= 8x
8x+4x= 12x + 2
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Tyler has $1000 that he wants to put in a savings account. He wants to save the money for 6 years. After 6 years he plans to tak
yKpoI14uk [10]
Tyler's $1,000 investment will be worth $1,240 after 6 years, invested at 4% interest rate.

The problem gives the following relevant data:

Principal = $1000
Interest rate = 4% simple interest
Term or time period = 6 years

Since simple interest is given, we need to use the simple interest formula;

I = P x R x T

where: P is the principal, R is the interest rate, and T is the time the money will be invested.

I = $1000 x 4% x 6yrs
I = $1000 x 0.04 x 6
I = 40 x 6
I = 240  ==> Interest earned after 6 years is $240.

Total Investment = Principal + Interest
T.I. = $1,000 + $240
T.I. = $1,240  ==> the value of Tyler's investment after 6 years.
6 0
3 years ago
Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?
Rina8888 [55]

Answer:

The equation that represents circle C is (x+2)^2+(y-10)^2=169.

Step-by-step explanation:

A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.

The standard equation for a circle with center (a, b) and radius <em>r</em> is

                                        (x-a)^2+(y-b)^2=r^2

We are told that the center of this circle is (-2, 10), so

                                        (x+2)^2+(y-10)^2=r^2

We are also told that the circle contains the point  (10, 5), so we will use that information to find the radius <em>r.</em>

<em />(10+2)^2+(5-10)^2=r^2\\\\r^2=\left(10+2\right)^2+\left(5-10\right)^2\\\\r^2=12^2+5^2\\\\r^2=144+25\\\\r^2=169\\\\r=\sqrt{169}=13<em />

Therefore, the equation that represents circle C is

(x+2)^2+(y-10)^2=13^2\\\\(x+2)^2+(y-10)^2=169

7 0
3 years ago
If the diameter of a circle is 9 cm, then its circumference is 56.52 cm.<br> True or False
Georgia [21]

Answer: true

Step-by-step explanation: first you divide its circumference by pi, which you then get 17.990. Round it to 18. Then use the diameter (18) and divide it by 2. You get 9.

6 0
3 years ago
The LCM and GCF of 40 and m is 120 and 10 respectively. Find m​
il63 [147K]

Answer: 30

Step-by-step explanation:

Simple formula is

LCM*GCF=PRODUCT OF 2 NUMBERS

120 * 10 = 40 * x

1200 = 40x

x = 1200/40

x = 30

5 0
4 years ago
A bag contains 7 red marbles, 11 blue marbles, and 7 yellow marbles.
SOVA2 [1]

Answer:

the total of marbles = 7 red + 11 blue + 7 Yellow

= 25 marbles

P ( b n r) = 11/25 + 7/24

=0.732

Step-by-step explanation:

1. find the total marbles

2. find the probability of each without replacement means the demoinator will reduce

3.add the two probability

8 0
3 years ago
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