$1803.34 will be the balance after 3 years if the account pays 2.4% annual interest compounded quarterly
What is Compound interest?Compound interest is the interest on a loan or deposit that accrues on both the initial principal and the accumulated interest from previous periods.
let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.
[tex]A = P(1 + \dfrac{r}{n})^{(nt)[/tex]
[tex]A = 1600(1 + \dfrac{.024}{4})^{((4)(5)[/tex]
[tex]A = 1600(1.006)^{(20)[/tex]
[tex]A = \$1803.34[/tex]
Hence $1803.34 will be the balance after 3 years if the account pays 2.4% annual interest compounded quarterly
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What is 4,069.44 rounded to the nearest hundredth
Stock in Company XYZ decreased from $14 a share to $9 a share. What is the percent decrease in stock price?
Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3. (1 point)
A) y − 6 = −3x − 3
B) y − 6 = −3(x + 1)
C) y = −3x + 3
D) 3x + y = 3
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have the point (-1, 6) and the slope m = -3. Substitute:
[tex]y-6=-3(x-(-1))\\\\\boxed{y-6=-3(x+1)}\to\boxed{B)}[/tex]
A bakery makes 184 loaves of bread in 4 hours how many loaves of bread did the bakery make in one hour
There are 3,812 people seated in a concert hall. There are 48 seats in each row. Estimate the number of rows of seats that are occupied
Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. The boat sold for how much?
Answer:
the boat was sold for $17,250
Step-by-step explanation:
Jimmy made a 15% profit, that means that the 15% of the cost is going to be his profit, so the 15% of $15,000 is:
$15,000(0.15)= $2,250
If his profit is 2,250, the price of the boat is going to be the initial cost plus the profit. So:
Price=$15,000 + $2,250 = $ 17,250
Then, the boat was sold for $17,250
Using proportions and the profit concept, it is found that the boat sold for $17,250.
This question is solved by proportions, using a rule of three.Profit of 15% means that the sales price was 15% more than the original cost. Thus, the original cost of $15,000 is worth 100% = 1, while the sales price of x is worth 100% + 15% = 115% = 1.15.The rule of three is:
$15,000 - 1
$x - 1.15
Applying cross multiplication:
[tex]x = 15000(1.15) = 17250[/tex]
The boat sold for $17,250.
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What is 5374 multiplied by 345?
Which two steps are needed to multiply 4,087 × 5 using partial products?
Choose exactly two answers that are correct.
A.
Multiply 80 × 5.
B.
Write 4,087 in expanded form.
C.
Multiply 400 × 5.
D.
Add 4,087 and 5.
Rohan is checking in poodles for a dog show. A miniature poodle must be between 10 in. and 15 in. at the shoulder. The body length must be no more than 16 in. In addition, the poodle’s shoulder height must be no more than 1 in. longer than its body length. The graph shows the feasible region, where x represents the poodle’s body length and y represents the shoulder height. Which ordered pairs meet all the constraints for a successful poodle measurement and make sense in context of the situation? Select each correct answer. (11, 9) (12, 10.5) (15, 11) (10, 12) (11, 14)
Wally is playing with his toy robot. The robot's battery is 80% full when he starts playing with it. The battery drains to 74% after Wally plays with the robot for 40 minutes. If t represents the time elapsed in minutes and l represents the battery level, which of the following equations can be used to model this situation?
A. l = -0.15 + 80t
B. l = -0.15t + 80
C. l = 80t + 0.15
D. l = -0.15t - 80
Answer:
B. l = -0.15t + 80
Step-by-step explanation:
From the options we can see that the relation between the battery level (I) and the time elapsed (t) is modeled by the equation of a line, that is:
I = a*t + b
where a and b are some constants, I is in % and t is in minutes.
At t = 0 (when Wally starts to play) the battery is 80%, that is:
80 = a*0 + b
80 = b
At t = 40 minutes the battery is 74%, then:
74 = a*40 + 80
74 - 80 = a*40
-6 = a*40
-6/40 = a
-0.15 = a
Then, the equation is I = -0.15*t + 80
Use words to write 36427580
185/100 + 50% + 4%
This is for a mastery challenge and for this lesson alone, I've been getting the answers wrong. If you can help me and explain it to me!
I’m not sure how to “explain your math thinking”.
Answer:
9 + 7 = 16Step-by-step explanation:
The math thinking refers to the process you did to solve the sum 9 + 7.
To solve this we could think the following process:
1. We complete the first number to 10.
2. The completion subtracted one unit from 7, so now it's 6.
3. Then we sum the ten and the six, it's easier to operate with tens.
Therefore, the answer is 16.
Remember that not everyone solve math problems and exercises the same way, because we all are different from each other.
round 76.3 to the nearest whole number
8 gallons to fill tank
Gas cost $3.26
What was the gas mileage for 296 mil trip
Given: l | | m
m∠4 = 105° and m∠6 = 50°.
m∠2 =
50°
55°
75°
Answer:
x = 55°
Step-by-step explanation:
<4 = 105
<4 + <3 = 180 (supplementary angles, form a line)
180-105= 75
<3 = 75
The interior angles of a triangle always equal 180 degrees.
<3 = 75 degrees, <6 = 50, <2 = x
75+50+x = 180
125 + x = 180
x = 55°
can I get help with these questions
The volume of a cube depends on the length of its sides. This can be written in function notation as a v(s). What is the best interpretation of v(3)= 27?
Please show all work.
A. 3 of these cubes will have a total of 27 cubic feet
B. 3 sides of the cube have a total length of 27 feet
C. A cube with side length's of 3 feet has a volume of 27 cubic feet.
D. A cube with a volume of 3 cubic feet has side lengths of 27 feet
Can you help, i'm not to good with postulates and theorems.
4a-|3b+2c|
solving equations involving absolute value please help
The Dalton’s completed 20% of their 2170 mile tripe the first day- how many miles did they travel the first day? How many miles of their trip did they still have to travel?
A staircase has 105 blocks, how many stairs does it have?
The straight-line distance after walking 9 blocks east and 5 blocks north can be calculated using the Pythagorean theorem, resulting in a distance of approximately 10.3 blocks, which is shorter than the total 14 blocks walked.
Explanation:The question involves finding the straight-line distance between two points in a two-dimensional city grid.
When walking 9 blocks east and then 5 blocks north, you are creating a right-angled triangle where the straight-line distance is the hypotenuse of the triangle.
To calculate this, we can use the Pythagorean theorem.
To find the straight-line distance, you square the number of blocks walked east (9 blocks squared) and north (5 blocks squared), and then find the square root of their sum:
Hypotenuse = √((9 blocks)² + (5 blocks)²).
This results in a straight-line path of √(81 + 25) = √106, which is approximately 10.3 blocks.
Hence, even though you walked 14 blocks, the straight-line path is only about 10.3 blocks long, which is considerably shorter than the path you walked.
estimate the value of 98.5*13
To estimate the value of 98.5*13, you round 98.5 to 100 and 13 to 10, and then multiply to get an estimated product of 1000, which is a simple calculation that provides a close approximation to the precise answer of 1,280.5.
To estimate the value of 98.5*13, you can round 98.5 to the nearest ten and 13 to the nearest ten. So, 98.5 is approximately 100 and 13 is approximately 10. To estimate the product, you multiply these two numbers:
100 * 10 = 1000
The estimated value of 98.5*13 is therefore around 1000. The calculator gives 1,280.5 as the precise answer, but our estimate simplifies the calculation while providing a close approximation.
Evaluate the expression (27÷3) x (5+9)
Can someone help me with these 3 questions please
2x+12 is greater than or equal to 6
15 POINTS! PLEASE ANSWER A.S.A.P.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Rapid rental car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas and $0.35 per mile.
A. For how may miles is the rental cost at both companies the same?
B. What is that cost?
Explain both part A and part B!
Which is a better estimate for the length of an ironing board?
A better estimate for the length of an ironing board would be 120 inches, or 10 feet. This exercise illustrates the importance of carefully calculated approximations rather than relying on rough 'guesstimates'.
Explanation:A better estimate for the length of an ironing board would be 120 inches, or 10 feet. This estimate is closer to the final approximate value mentioned in the discussion. However, the early estimate of 3 inches was significantly off. This exercise illustrates the importance of carefully calculated approximations rather than relying on rough 'guesstimates'.
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $75. A season ski pass costs $400. The skier would have to rent skis with either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
(please help I suck at word problems)
Anna buys 24 seeds and plants 3 in each pot. She has 5 pots. How many more pots does Anna need to plant all of her seeds
The number of pots required to plant 24 seeds will be 8.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Anna buys 24 seeds and plants 3 in each pot. She has 5 pots.
The number of the pots will be calculated as Anna needs 3 more pots. 3 times 5 is 15 seeds. And she has 24 seeds. so 24 divided by 3 is 8. 8 minus 5 is 3.
Number = 24 / 3 = 8 pots
Therefore, the number of pots required to plant 24 seeds will be 8.
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