dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawls on the account for 2 years. the intrest was compounded annually find to the nearest cent the balance in the account after 2 years
Answers
Answer:
below
Step-by-step explanation:
that is the procedure above
The balance in the account after 2 years is $619.35.
What is the compund interset?The compound interest for an amount depends on both Principal and interest gained over periods.
Dlan invested $600 in a savings account at a 1.6% annual interest rate.
He made no deposits or withdrawls on the account for 2 years.
The balance in the account after 2 years is given by;
[tex]\rm Amount =Principal(1+rate)^{time}[/tex]
Substitute all the values in the formula
[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]
Hence, the balance in the account after 2 years is $619.35.
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Related Questions
MATH HELP PLEASE ANSWER ASAP
Answers
Step-by-step explanation:
QR = 1.5
TS = 2
TP = 3.8
RS = 1.4
PQ = 2.6
What is the least number of apples that can be shared equally among either 6, 10 or 15 children?
Answers
Answer:
If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this
6 children 6 apples
10 children 10 apples
15 children 15 apples
A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ
Answers
Answer:
To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
sin x = O/H
cos x = A/H
tan x = O/A
where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.
sin x = f/d
cos x = e/d
tan x = f/e
Step-by-step explanation:
The trigonometric ratio's as per given side length of a triangle are as follow,
cosx = f/e , sinx = d/e , and tanx = d/f.
Let us consider triangle name as ABC,
Measure of angle ABC = x degree
Measure of angle BAC = 90 degree
Side length AB = f
Side length AC = d
Side length BC = e
For angle x ,
AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.
cosx = adjacent side / hypotenuse
= f / e
sinx = opposite side / hypotenuse
= d / e
tanx = opposite side / adjacent side
= d / f
Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.
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The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answers
Answer:
Triangle RSP is similar to triangle ZXY
Step-by-step explanation:
to be similar triangles the order of the angles must match.
Angle R is 41° so is angle Z
angle S is 54° so is angle X
angle P is 85° so is angle Y
Pedro spins the pointer of a spinner 10 times. The pointer lands on the color blue 7 times. Write a fraction to represent the part of Pedro's spins that were blue?
Answers
Answer:
7/10
Step-by-step explanation:
Out of the ten spins seven landed on blue.
I hope this helps :)
Answer:
The fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].
Step-by-step explanation:
In a fraction, there is a numerator and a denominator. In order to get a fraction that would represent the part of Pedro's spins that were blue, you need to put the number of times the pointer landed on blue as a numerator and the total number of spins as the denominator. Therefore a fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].
Simplify using the distributive property: 5(2x + 7). Show all of your work.
Answers
Answer:
10x + 35
Step-by-step explanation:
Given
5(2x + 7) ← multiply each term in the parenthesis by 5
= 5(2x) + 5(7)
= 10x + 35
Answer:
10x+35
Step-by-step explanation:
5×2x=10x
5×7=35
=10x+35
What is DM?
22 cm
30 cm
38 cm
76 cm
Answers
Answer:
38cm
Step-by-step explanation:
38 is the answer . hope it helps.
Answer:
c. 38 cm
Step-by-step explanation:
Why do some functions not have x intercepts?
Answers
A ratio of peanuts to raisins is 5 to 4. A bag of the snack mix contains 200 peanuts. How many raisins are in the bag
Answers
Answer:
160 raisins
Step-by-step explanation:
First, the ratio of peanuts to raisins will be 5:4.
Next, to fine the number to multiply the 4 by, you will divide 200 by 5.
You divide the 200 by 5 because that is how many peanuts there are in the bag and the ratio is 5:4 as stated above.
So 200 divided by 5 is 40. You will take that 40 and then multiply it by 4 to get 160.
So the end result is there are 160 raisins in the bag, and the final ratio would be 200:160
OMG DUE IN 40 MINUTESSSS!!
Answers
Answer:
17 1/3 52/3
Step-by-step explanation:
3x+y=38
3x+2y=52
-y=14
y=-14
3x+-14=38
3x-14=38
3x=38+14
3x=52
3x/3=52/3
x=171\3
17 is a whole number then 1 divided by 3 . thus is x
Astronauts use a tool in space that weighs 5 ounces on Earth. How many grams does the tool weigh? Round your answer to the nearest hundredth.
Answers
You need to convert 5 oz into grams.
1 oz = 28.3495 g
5 oz * 28.3495 g/oz = 141.75 g
Answer: 141.75 g
Why is this a function?
X Y
3. -1
0.
0
-3
-6. 2
(3 and 0 are both assigned to 0)
Answers
This is a function because each element in the domain has one and only distinct image in the co-domain.
in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.
Answers
Answer:
white- 47% Blue-23% Red- 30%
Step-by-step explanation:
White cars- (47/100)*100= 47%
Blue cars- (23/100)*100=23%
Red cars- (30/100)*100=30%
Need help with number one please
Answers
Answer:
answer is 4 because EJ is 4, and GJ is congruent to EJ meaning they are the same size.
what do you means by. India gate
Answers
Answer:
The India Gate (formerly known as the All India War Memorial) is a war memoria)
Step-by-step explanation:
it's a place
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answers
graph 1 - clue 3
graph 2- clue 2
graph 3- clue 4
graph 4 - clue 1
Answer:
Graph 1 - Clue 3 / Kareem
the points fits neatly in between the rest of the plot
Graph 2 - Clue 2 / Paloma
same reasoning as above, located in the middleof the other points. but note that y and x are in switched order
Graph 3 - Clue 4 / Jonah
(25,10) fits just nice right in the middle of the other points. note that written as an ordered pair, or point, x has to be on the left side inside the parentheses
Graph 4 - Clue 1 / Genevieve
just fitting into the pattern on the lower right end of the plot
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Answers
It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
I need help on this problem can anyone help me on this
Answers
Answer:
Step-by-step explanation:
Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get
[tex](x+4)^2=9[/tex] Now we have to undo the squaring on the left by taking the square root of both sides:
[tex]\sqrt{(x+4)^2}=[/tex] ±[tex]\sqrt{9}[/tex] Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:
x + 4 = ±3
The 2 solutions are
x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.
Nadia has a $15 gift card to an online music store. Each song at the store costs $0.99. The equation m = 15 - 0.99s represents the amount of money, m, Nadia has left on the gift card after buying 5 songs. a.
The independent variable is b.
How does the amount of money left on the card change for each extra song Nadia buys?
Show your work. and the dependent variable is
Answers
Answer:
All I know is she had 10.05 left
can someone please answer
Answers
Answer:
The answer is 49 degrees
Step-by-step explanation:
The total we are getting to is 180, we have 131. Subtract to find the missing number that makes it 180 which is 49 because 180 minus 131 is 49.
Answer:
x = 49 °
Step-by-step explanation:
These both angles are located at the straight line. So, the sum of both angles are 180 ° .
x + 131 ° = 180 °
subtract 131 ° from 180 °
x = 180° - 131 °
x = 49 °
Paul rolls a fair dice 174 times.
How many times would Paul expect to roll an odd number?
Answers
Answer:
87 times as the dice has 3even numbers and 3 odd numbers so chance is 50% so half of 174 is 87.....times
Step-by-step explanation: hope this helps
Answer:
87 times
50% of the time
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6 numbers
1, 3, 5 are odd
3/6 in one roll
3/6 × 174 = 87
The triangles shown below must be congruent.?
True or false
Answers
Answer:
True
Step-by-step explanation:
Angle-Angle-Side congruency
Answer:
A. True
Step-by-step explanation:
Since, two corresponding angles of the triangles are congruent. So, third angle will automatically be congruent. Hence, by AAA postulate both the triangles will be congruent. Therefore. Option A. TRUE is the correct answer.The average height of middle school students at Seton Grove School is found to be 5.25 feet. Which sample makes this generalization valid?
Answers
Answer:
every other student who enters the school
Step-by-step explanation:
It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.
It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.
Thus we can say that every other student who enters the school has a average height of 5.25 feet.
This sample makes the generalization about the heights of the school students valid.
Answer:
c
Step-by-step explanation:
correct on edmentum / plato
PLEASEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
The correct algebraic expression is [tex]8+2c[/tex] or also, [tex]2c+8[/tex] because they are the same thing.
Step-by-step explanation:
Hope this helps and,
pls let me know if it was correct.
An entreprenuer sold a damage fan for 4560 thereby incurring 20% on the cost price determine the cost of the fan
Answers
Answer:
5,700
Step-by-step explanation:
Let
x = total cost of the fan
The entrepreneur incurred 20% on the cost price
Selling price = 4560
Therefore, The selling price = 80% of the total cost of the fan
4560 = 80% of x
4560 = 80/100 * x
4560 = 0.8 * x
4560 = 0.8x
x = 4560/0.8
x = 5,700
x = total cost of the fan = 5,700
Hello I need help :)
Solve the equation to find out how much money Rita made working 36 regular hours at $24 per hour plus 8 holiday hours of double-time. What are her total earnings for the week?
A.$1,104.00
B.$ 00.00
C.$1,068.00
D.$1,248.00
Answers
Answer:
The correct option is D) $1,248.00
Step-by-step explanation:
First calculate $24 at 36 hours
24 * 36 = $864
then
calculate $48 at 8 hours because of double time
48 * 8 = $384
then
add them both up
864 + 384 = $1248
Hope this helps :)
Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?
Answers
Answer:
9 games.
Step-by-step explanation:
You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.
Which of the following is a composite number?
Ο Α. Ο
O B. 19
O C. 63
O D. 1
Answers
Answer: The letter C
Option C is correct, 63 is the composite number.
What is Number system?A number system is defined as a system of writing to express numbers.
Composite numbers are numbers that have more than two factors.
0 is not a composite number.
19 is a prime number because it is divided by itself so it is not a composite number.
63 is a composite number because it has more than two factors.
The factors of 63 are 1, 7 , 9
1 is not a prime number as it does not have factors.
Hence, Option C is correct, 63 is the composite number.
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A school sold a total of 250 tickets to a show. Adult tickets cost $7.25 and student tickets cost $5.50. At the end of the evening the amount of money
collected was $1,602.50. Write and solve a system of equations to determine the number of student tickets sold
В І ца
7.25x+5 5y=1,602.50
1 / 10000 Word Limit
Answers
Answer:
The system of equations is:
x + y = 250 (1)
7.25x + 5.50y = 1602.50 (2)
with x = Adult tickets
y= student tickets
Solution
Let's equation (1)
x+y=250
x=250-y (a)
subtitute x in aquation (2)
7.25(250 - y) + 5.50y=1602.50
1812.50 - 7.25y + 5.50y= 1602.50
1812.50 -1.75y = 1602.50
-1.75y = 1602.50 - 1812.50
-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign
y= 210/1.75
y= 120
Substitute y in equation (1)
x + 120 = 250
x= 250 - 120
x =130
Let's check our results in equation (1)
x + y =250
120 + 130= 250 ↔ 250 = 250
At the end of the evening they 120 students tickets and 130 adults tickets
Step-by-step explanation:
You can check the results in any of the equations
Please help the question is in the picture.
Answers
Answer:
[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]
Step-by-step explanation:
The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]
Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.
What we know:
[tex]\theta[/tex] of [tex]300^{\circ}[/tex] [tex]r[/tex] of [tex]x[/tex]Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]