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3 years ago

A retiree invests $9,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year

Mathematics

2 answers:

shutvik [7]3 years ago

6 0

Answer:

Step-by-step explanation:

densk [106]3 years ago

4 0

Using the formula I=Pxrxt
P is the principal amount, $9000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 1....year(s) time periods.
So, t is 1....year time periods.
To find the simple interest, we multiply 9000 × 0.05 × 1 to get that:

The interest is: $450.00
So the balance will be $9450.00 at the end of the first year.

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What is the measure of EAB in circle F? 72° 92° 148° 200°

Arada [10]

We have been given a diagram. We are asked find the measure of arc EAB.

First of all, we will find the measure of arcs ED and CB using our given information.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.

$\widehat{EDC}=2\times m\angle EBC$

$\widehat{EDC}=2\times 80^{\circ}$

$\widehat{EDC}=160^{\circ}$

Similarly, we will find the measure of arc DCB.

$\widehat{DCB}=2\times m\angle DEB$

$\widehat{DCB}=2\times 70^{\circ}$

$\widehat{DCB}=140^{\circ}$

$\widehat{ED}=\widehat{EDC}-\wdiehat{DC}$

$\widehat{ED}=160^{\circ}-88^{\circ}$

$\widehat{ED}=72^{\circ}$

$\widehat{ED}+\widehat{DCB}+\widehat{EAB}=360^{\circ}$

$72^{\circ}+140^{\circ}+\widehat{EAB}=360^{\circ}$

$212^{\circ}+\widehat{EAB}=360^{\circ}$

$\widehat{EAB}=360^{\circ}-212^{\circ}$

$\widehat{EAB}=148^{\circ}$

Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.

8 0

3 years ago

Read 2 more answers

Two random variables x and y are independent if the value of x does not affect the value of y. If the variables are not indepen

jeyben [28]

Answer: $\mu_{x+y} =$ 3026

$\mu_{x-y}=$ 30

Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:

$\mu_{x+y}=\mu_{x}+\mu_{y}$

Assuming x represents the random male selected and y represents the random female selected:

$\mu_{x+y}=1528+1498$

$\mu_{x+y}=$ 3026

The average sum of their scores is 3026.

Average difference is the difference between the expected value (mean) of each gender:

$\mu_{x-y}=\mu_{x}-\mu_{y}$

$\mu_{x-y}=$ 1528 - 1498

$\mu_{x-y}=$ 30

The average difference of their scores is 30.

6 0

3 years ago

*BEST ANSWER WILL BE MARKED BRAINLIEST*

Gwar [14]

Alright

for a 45-45-90 triangle, if the legs are x then the hytponuse is x√2

so LM=x√2 is right
NM=x

also, tan=oposite side/adjacent side
so that would be LN/MN or MN/LN=x/x=1

so that would be tan(45)=1

so you want to check the 1st one, 3rd one and 5th one

NM=x
LM=x√2
tan(45°)=1 are the answers

4 0

3 years ago

Read 2 more answers

Three small circles C1, C2, and C3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respecti

den301095 [7]

Curl is defined as:

$\bigtriangledown \times F=\frac{ \int F.dr}{Area}$

Which can be rewritten as:

$\frac{ \int F.dr}{Area}=\frac{ \int_{C_1} Fdr}{Area}\widehat{k}+\frac{ \int_{C_2} Fdr}{Area}\widehat{i}+\frac{ \int_{C_3} Fdr}{Area}\widehat{j}$

This is because C1 lies on the xy plane and thus it's unit vector will be $\widehat{k}$ .

By similar arguments the rest will follow too.

Now, area of each circle will be: $\pi \times (0.1)^2=0.01 \pi$

Therefore, Curl, as per our definition will be:

$\frac{\int F.dr}{Area}=\frac{0.01\pi}{0.01\pi}\widehat{k}+\frac{0.4\pi}{0.01\pi}\widehat{i}+\frac{5 \pi}{0.01\pi}\widehat{j}$

Thus, Curl= $40\pi \widehat{i}+500\pi \widehat{j} +\widehat{k}$

Which is the required answer.

7 0

4 years ago

The combined area of two squares is 45 square centimeters.each side of one square is twice as long as the side of the other .wha

serg [7]

Formula of square area
a = s²
thus, area of the first square could be written as s₁² and area of the second square could be written as s₂²

First, write an expression in the form of equation system
An expression for "The combined area of two squares is 45 square centimeters" is:
⇒ s₁² + s₂² = 45 (first equation)
An expression for "Each side of one square is twice as long as side of the other" is:
⇒ s₁ = 2s₂ (second equation)

Second, solve the equation system by substitution method.
⇒ We could substitute 2s₂ to s₁ (second equation) in the first equation in order to find the value of s₂
s₁² + s₂² = 45
(2s₂)² + s₂² = 45
(2²)(s₂)² + s₂² = 45
4s₂² + s₂² = 45
5s₂² = 45
s₂² = 45/5
s₂² = 9
s₂² = 3²
s₂ = 3

⇒ Substitute the value of s₂ to the second equation in order to find the value of s₁
s₁ = 2s₂
s₁ = 2(3)
s₁ = 6

The length of each side of the larger square is 6 centimeters

3 0

4 years ago