Answer:
The value of the CD at the end of the 4 years is $5,808.86.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.
This means that [tex]P = 5000, r = 0.0375[/tex]
Compounded weekly
An year has 52 weeks, so [tex]n = 52[/tex]
Then
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 5000(1 + \frac{0.0375}{52})^{52t}[/tex]
What is the value of the CD at the end of the 4 years?
This is A(4). So
[tex]A(4) = 5000(1 + \frac{0.0375}{52})^{52*4} = 5808.86[/tex]
The value of the CD at the end of the 4 years is $5,808.86.
Jenna danced for 3 hours on Sunday, 2 hours on Monday and Tuesday, 1 hour on Thursday, 1.5 on Friday, and 2 hours on Saturday. She didn’t dance at all on Wednesday. What is the average number of hours she danced each day? Round your answer to the nearest tenth in an hour.
Solve for X
Answer choices
4
5
8
3
2
Both are supplementary angles so their sum will be 180°
[tex]\\ \sf\longmapsto -2x+54=142[/tex]
[tex]\\ \sf\longmapsto -2x=142-54[/tex]
[tex]\\ \sf\longmapsto -2x=88[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-88}{2}[/tex]
[tex]\\ \sf\longmapsto x=-44[/tex]
Answer:
Answer:THE ANSWER IS 8 I HOPE IT WILL HELP YOU A LOT.
9. If a card is selected from a standard 52 card deck. What is the probability of selecting a face card or an Ace?
- 2/3 (2 - 1/5) use distributive property
Answer:
-6/5
Step-by-step explanation:
- 2/3 (2 - 1/5)
Distribute
-2/3 *2 -2/3 *(-1/5)
-4/3 + 2/15
Get a common denominator
-4/3 *5/5 +2/15
-20/15 +2/15
-18/15
Simplify
-6/5
Rewrite the polynomial in the form ax+by+c and then identify the values of a, b, and c.
x -- 1 -- 2y
Answer:
a=1, b=-2,c=-1
Step-by-step explanation:
1*(x)+(-2)*y+(-1)*1. a=1, b=-2,c=-1
The scale on a map is
1:25 000
(a) On a map, a distance
measures 5cm. What is this
in real life? Give your
answer in kilometres.
(b) In real life a distance is
2.2km. What would this be in
the map in centimetres?
Answer:
Step-by-step explanation:
a) 5 cm(25000)(1 m/100 cm)(1 km/1000 m) = 1.25 km
b) 2.2 km (1000 m/km)(100 cm/m) / 25000 = 8.8 cm
Determine if the triangles below are similar. If they are, give the rule that you used to determine similarity.
The triangles are similar due to SAS congruence postulate rule.
What are Similar Triangles?Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides. The triangles that like one another but may not be exactly the same size are said to be similar triangles. When two objects have the same shape but different sizes, they can be said to be similar. This indicates that identical shapes superimpose one another when enlarged. The term "Similarity" refers to this characteristic of like shapes.
Given triangles are similar due to SAS congruence postulate rule.
SAS or Side-Angle-Side Similarity Criterion,
According to the SAS similarity theorem, If any two of the first triangle's sides are exactly proportional to those of the second triangle, and if the angle created by these two sides of each individual triangle is equal, then the two triangles must be similar triangles.
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What is the shape of the cross section?
Answer:
Step-by-step explanation:
Triangular cross-section.
Answer:
it is a triangle cross-section
hope this answer helps you
Plz make me a brainlist
Mary is thinking of a mystery number. She reduces it by 15% then subtracts 5. The result is 29. Determine the mystery number
Answer:
40
Step-by-step explanation:
Let x represent the mystery number.
Create an equation to represent the situation, then solve for x:
0.85x - 5 = 29
0.85x = 34
x = 40
So, the mystery number is 40.
12. Convert 30.283° into a degree-minute-second format.
O A. 18° 16' 98"
B. 18° 28' 30"
C. 30° 16' 58"
D. 30° 28' 30"
The angle of 30.283° in a degree-minute-second format will be 30° 16' 58". Then the correct option is C.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The angle is given below.
⇒ 30.283°
Convert 30.283° into a degree-minute-second format. Then we have
⇒ 30° (0.83 x 60')
⇒ 30° 16.98'
⇒ 30° 16' (0.98 x 60'')
⇒ 30° 16' 58"
The angle of 30.283° in a degree-minute-second format will be 30° 16' 58". Then the correct option is C.
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Please help with this just tell me A B C or D.
Answer:
The answer is D.
[tex]3x {}^{2} - 10x - 1 = 0[/tex]
Step-by-step explanation:
[tex]x = \frac{5 + 2 \sqrt{7} }{3} [/tex]
Divide each term of 5+2√7 by 3 to get 5/3 + 2/3√7.
[tex]x = \frac{5}{3} + \frac{2}{3} \sqrt{7} [/tex]
[tex]x = \frac{2 \sqrt{7 + 5} }{3} [/tex]
or
[tex]x = 3.43[/tex]
i provided the question
Answer:
(0, 3)
Step-by-step explanation:
y = 3 is the horizontal tangent to y = x^2+3, and passes the parobala at (0, 3)
The equation ^2 −4+^2 +2=−4
a. Is a parabola
b. Is an ellipse
c. Is a hyperbola
d. Is a circle
e. None of the above
Answer:
Step-by-step explanation:
None. Your notation is unclear.
find the scale factor and ratio of perimeters for a pair of similar octagons with areas 49 ft^2 and 64 ft^2
Answer:
scale factor: 1.16
perimeters: 21.84 ft and 25.36 ft
HELP NEEDED PLEASE!!!!!
Answer:
1^1 + 0^1 =1
Step-by-step explanation:
sin^2 theta + cos^2 theta = 1
sin^2 (pi/2) + cos^2 (pi/2) =1
1^1 + 0^1 =1
If f(x) = 4x + 5 and fog(x) = 8x + 13 then find g(x).
Answer:
given
f(x).4x+5
fog(x).8x+13
now
fog(x):8x+13
4x+5(g(x)):: 8x+13
g(x):: 8x+13/4x+5
Answer:
g(x) = 2x + 2
Step-by-step explanation:
One is given the following information:
f(x) = 4x + 5f o g (x) = 8x + 13One is asked to find the following:
g(x)Remember, (f o g (x)) is another way of representing a composite function. A more visual way of representing this composite function is the following (f(g(x)). In essence, one substitutes the function (g(x)) into the function (f(x)) in places of the varaible (x). Thus, represent this in the form of an equation:
f(g(x)) = 8x + 13
Substitute the given infromation into the equation:
4(g(x)) + 5 = 8x + 13
Solve for (g(x)) in terms of (x). Remember to treat (g(x)) as a single parameter:
4(g(x)) + 5 = 8x + 13
Inverse operations,
4(g(x)) + 5 = 8x + 13
4(g(x)) = 8x + 8
g(x) = (8x + 8) ÷ 4
g(x) = 2x + 2
Solve for x, Correct to one decimal place where 0°<x<90°
Sin2x=0,291
Answer:
Step-by-step explanation:
Sin2x=0,291
Sin2x = 2Sinx * CosxI need help completing this problem ASAP
4/(√x - √(x - 2)) × (√x + √(x - 2))/(√x + √(x - 2))
= 4 (√x + √(x - 2)) / ((√x)² - (√(x - 2))²)
= 4 (√x + √(x - 2)) / (x - (x - 2))
= 4 (√x + √(x - 2)) / (x - x + 2)
= 4 (√x + √(x - 2)) / 2
= 2 (√x + √(x - 2))
Suppose $12,000 is deposited into an account paying 5.5% interest, compounded continuously.
How much money is in the account after five years if no withdrawals or additional deposits are
made?
Answer:
$15798.4
Step-by-step explanation:
We will have to use this formula A = Peᵃᵇ
A = Final amount
P = Initial amount (12,000)
e = Mathematical constant: 2.7183
a = Interest rate (5.5% or 0.055)
b = Years
So our equation will look like this
A = 12,000e⁵ ⁰·⁵⁵
A = 12,000(2.7183)·²⁷⁵
A = 12,000(1.316533)
A = 15798.396
Carol is having a hard time understanding the central limit theorem, so she decides to do her own experiment using the class data survey collected at the beginning of class on the number of hours a student takes during her Spring 2019 BUSI 2305 course. The data file has a total number of 54 students where the average is 10.8 with a standard deviation of 3.15. She sets out to collect the mean on 8 samples of 6 students. Based on this what are the total possible samples that could occur based on the population
Answer:
25827165
Step-by-step explanation:
from the question that we have here
the total population = 54 students
the sample size = 6 students
So given this information carol has to pick the total samples from the 54 students that we have here
the total ways that she has to do this
= 54 combination 6
= 54C6
= [tex]\frac{54!}{(54-6)!6!}[/tex]
= 25827165
this is the total number of possible samples that could occur given the total population of 54 students.
Select the correct answer.
Given the following formula, solve for l.
A.
B.
C.
D.
Answer:
c
Step-by-step explanation:
took the test so i assume its this question
plz help brainliest to correct answer
Answer:
-2 would be right next to -3 because its negative and -1 would be right next to -2, 2 would be two points away from 0 bc its a whole number
Step 3: Write the equation of the line that passes through the point (4,−1)
(
4
,
−
1
)
that is parallel to the line 2−3=9
Answer:
-
Step-by-step explanation:
-
What is the common ratio for this geometric sequence?
27, 9, 3, 1, ...
Answer:
1/3
Step-by-step explanation:
common ratio is
9÷27=1/3
3÷9=1/3
1÷3=1/3
therefore common ratio is 1/3
Answer: 1/3
Step-by-step explanation:
Let us confirm that this is a geometric sequence. 9/27 = 1/3 and 3/9 = 1/3. Thus, the common ratio is 1/3.
solve the expression -|6+(-2)|+9
The simplification of the given expression -|6+(-2)|+9 is 5.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given expression;
-|6+(-2)|+9
Solve the modules;
-|4|+9 = 5
Thus, the simplification of the given expression is 5.
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From the observation deck of a skyscraper, Isabella measures a 67
angle of depression to a ship in the harbor below. If the observation deck is 824 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
The horizontal distance from the base of the skyscraper out to the ship is 349.8feet
Angle of elevation and depressionThe angle situated above the hill is known as the angle of depression
Given the following parameters
Height of the harbor = 824 feet
Angle of depression = 67degrees
According to SOH CAH TOA identity:
tan 67 = opp/adj
tan 67 = 824/d
d = 824/tan67
d = 349.8 feet
Hence the horizontal distance from the base of the skyscraper out to the ship is 349.8feet
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PLEASE HELP ME WITH EMPIRICAL RULE!! ASAP!
Answer:
hahahahahahahahahahhahahahahhahahahahhahagagagaggagagagahhahahahahha
A local rental car agency has 200 cars. The rental rate for the winter months is 60%. Find the probability that in a given winter month fewer than 140 cars will be rented. Use the normal distribution to approximate the binomial distribution.
Answer:
[tex]P(Z\leq2.89)=0.9981[/tex]
Step-by-step explanation:
Sample size [tex]n=200[/tex]
Rental Rate [tex]R=60\%[/tex]
Probability =(P<140)
Generally the equation for mean of distribution is mathematically given by
[tex]\mu=nR\\\\\mu=200*0.60\\\\\mu=120[/tex]
Generally the equation for Standard deviation of distribution is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{200*0.60*0.40}[/tex]
[tex]\sigma=6.9[/tex]
Therefore
Z-score for x=140 is
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{140-120}{6.9}[/tex]
[tex]Z=2.89[/tex]
From table
[tex]P(Z\leq2.89)=0.9981[/tex]
formula of a square minus b square
Answer:
(a+b)(a-b)
Step-by-step explanation:
[tex]\\ \sf\longmapsto (a+b)(a-b)[/tex]
[tex]\\ \sf\longmapsto a(a-b)+b(a-b)[/tex]
[tex]\\ \sf\longmapsto a^2-ab+ba-b^2[/tex]
[tex]\\ \sf\longmapsto a^2-ab+ab-b^2[/tex]
[tex]\\ \sf\longmapsto a^2-b^2[/tex]
[tex]\large\bf{\orange{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: (a + b) \quad \: (a - b)[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: a \: (a - b) \quad \: b \: (a - b)[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ba \: - \: {b}^{2} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ab \: - \: {b}^{2} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: \cancel{ab} \: + \: \cancel{ab} \: - \: {b}^{2} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]
Solve for x^2=18
Please help
