Answer:D
Step-by-step explanation:
principal=p=$5000
Rate=r=3.8%
Time=n=3 years
amount=a
a=p(1+r/100)^n
a=5000(1+3.8/100)^3
a=5000(1+0.038)^3
a=5000(1.038)^3
a=5000 x 1.038 x 1.038 x 1.038
a=5591.93
a=$5591.93
Answer:
Leena walked 5/7 miles with her friend
Step-by-step explanation:
7/7 = 1
7 +4 =11
Answer:
0.6048
Step-by-step explanation:
Given the following :
Assume a normal distribution :
Mean (m) = 105
Standard deviation (sd) = 20
Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Z = (x - m) / sd
For IQ score of 88:
Z = (88 - 105) / 20
Z = (-17) / 20
Z = - 0.85
For IQ score of 122:
Z = (122 - 105) / 20
Z = (17) / 20
Z = 0.85
P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)
P(-0.85<Z<0.85) = (0.8023 - 0.1977)
P(-0.85<Z<0.85) = 0.6048
Answer:
Part (A) → x = 5
Part (B) → m(arc RS) = 55°
Step-by-step explanation:
In the picture attached,
RU and SV are the diameters of the given circle.
Part (A),
Since RU is the diameter,
m(arc RVU) = 180°
m(arc RV) + m(arc VU) = 180°
(24x + 5) + (10x + 5) = 180
34x + 10 = 180
34x = 170
x = 
x = 5
Part (B),
Since m(arc RS) = m(arc VU) [Angles intercepted by these arcs at the center are equal because they are the vertical angles]
m(arc RS) = (10x + 5)
= (10×5 + 5)
= 55°
Answer:
x = 3/8 or 0.375
Step-by-step explanation:
For this equation, you need to set it up so it's easier to work with. For example, 3x + x - 3 ÷ 2 = 0. Next, use the order of operations which is the acronym PEMDAS.
P = parentheses (first if there is any)
E = exponents (if there is any)
M/D = Multiply or Divide
A/S = Add or Subtract
Since we have a division problem to do, we need to simplify the division first based on the order of operations.
3x + x <u>- 3 ÷ 2 </u>= 0. -3 ÷ 2 is equal to -1.5. Every division problem is also a fraction. Next, you will have left 3x + x - 1.5 = 0. When you have both subtraction and addition in the equation, all you have to do is solve from left to right. There is an addition problem to solve first then the subtraction problem. For example: <u>3x + x</u> - 1.5 = 0, which equals to 4x - 1.5 = 0. Next, you add 1.5 to -1.5 and 0. Anything added or subtracted by a number and it's opposite will always equal 0. For example: 4x <u>- 1.5 + 1.5</u> =<u> 0 + 1.5. </u> You have to get rid of the -1.5 and 1.5 since it equals 0. This will be left with 4x = 1.5. Divide both sides by 4 to balance the equation. For example: <u>4x ÷ 4 = 1.5 ÷ 4. </u>Do you see that the 4's on one side cancel each other out? You are left with x = 3/8.
