To solve for the Principal amount, we will use the formula:
P = I / rt
P = principal amount; which is the amount that we will be solving for.
I = the interest accrued within the allotted time frame. ($160)
r = the interest rate percentage. (1.6%)
t = the time frame that the money will accrue interest. (2 years)
Before we can plug in the numbers into our formula, we need to convert our percent into a decimal. To do this, move the decimal two places to the left. This will leave us with 0.016. We'll use that for "r".
Let's plug in the numbers:
P = 160 / (0.016) (2)
Multiply your bottom numbers together for 0.016 x 2 =0.032
P = 160 / 0.032
Divide now.
160 ÷ 0.032 = 5,000.
This tells us that, Bert will need to deposit $5,000 into the savings account to earn $160 within 2 years with a 1.6% interest rate.
Christy subtracted to find her jogging rate for each time period and said that her rate
increased each hour, from 8 to 12 to 16 miles per hour, is Christy correct? Explain why or
why not
Answer:
No, Christy subtracted to find her jogging rate. Not added.
Step-by-step explanation:
The common diffrnece is +4 so she whould have to add. I hope this helps
An icecream stand sells chocolate, vanilla and strawberry ice cream as well as a choice of 22 toppings. how many choices are there for a single flavor of ice cream with one topping?
Another test for you guys!
1.Joey had 6 siblings. All of them were born 2 years apart. The youngest is Chloe who is only 7 years old while Joey is the eldest. Calculate Joey’s age.
a.12
b.18
c.22
d.19
2. There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?
a.13
b.42.5
c.6.5
d.42
3. 3 + 2 • (8 – 3)
a.13
b.24
c.15
d.17
4. If 1 = 5; 2 = 25; 3 = 325 and 4 = 4325; then 5 =?
5.Consider there are 85 people in a warehouse, out of which some have been turned into zombies while some are still alive. If the ratio of zombies to living human beings is 2:3, calculate the total number of zombies.
Answer:
1. 19
2. 42.5
3. 13
4. 5=1
5. 34
(I'm not sure about 4 though)
which expression shows prim factorization of 504?
Answer:
it's G because 7×8×9=504
Answer:
G is the answer
HELP! Find the answer for these 2 questions. Answer it right please.
God I love Triangles
1: b=36 units
2: C.
1st Explanation:
Given the triangle's sides are to scale, you can take the larger one and divide a side value by it's scaled version to find the rate of change.
In this instance, i took 45/10 and got 4.5, I checked with the other side and found 27/6 also was equivalent to 4.5. This meant the scale from Triangle 1 to Triangle 2 was upscaled by a multiple of 4.5 ...
I took the non-scaled side, and used the common multiple that is present on the other sides, and I found 8x4.5=36.
So, side b, the un-labeled, target side on Triangle 2, equals 36 units. (never forget the units when written, remember this for your future.)
2nd Explanation:
The word problem presents an estimated guess that we are to evaluate it's accuracy of.
I started by reading Laamars, prediction, and checked for any obvious answers. I did not find one, so I moved on to do the math to the estimated penny, by doing:
-Lamar has 1 Full Jar worth $51.45
Value: (51.45)
-Lamar has two identical (same, nearly) jars
Value: (2x51.45)
-Lamar has a 3/4 full jar. So, I converted 3 divided by 4 to .75,
Value: (.75x51.45)
-Lamar has a 1/2 full jar. So, I used one half of 51.45 with the equation: Value: (51.45/2 OR .5x51.45)
So, gathered the values and got the sum of:
Estimated Value = 51.45+(51.45x2)+(.75x51.45)+(.5x51.45) = $218.66
With this in mind, we know Lamar OVERESTIMATED, so we can eliminate answer choices A and B. When you read D, it is already known that the exact value may not be $51.45, so, by process of elimination, I concluded that Lamar most likely overestimated becuase "He has Just over 4 containers, and 4x50=200"
3+.75+.5=4.25, so the statement "just over 4" is true.
Answer these two questions:
Suppose that 60% of the students at your school favor a proposed school policy that would ban cell phones at school. Also suppose that every student in your class selected a different random sample of 50 students from your school and calculated the proportion of students in the
sample who favor the ban.
5. If your class constructed a dot plot of all these sample proportions, where would you expect the dot plot to be centered?
6. If every student had selected a random sample of size 25 instead of a sample of size 50, would you expect a dot plot of the sample proportions to be more spread out or less spread out than in a dot plot of sample proportions for samples of size 50?
Answer:
at 50 and 6 yes because 50 is more than 25 and will get bigger
Step-by-step explanation:
Which statement is true based on the diagram?
Answer:
option B
Step-by-step explanation:
Triangle RST~ TRIANGLE RQP
Complete the square for: 3[tex]x^2[/tex]-18x-12
Answer:
[tex]3(x-3)^{2} - 15[/tex]
Hudson was comparing the price of orange juice at two stores. The equation y=0.57xy=0.57x represents what Hudson would pay in dollars and cents, yy, for xx bottles of orange juice at store A. Hudson can buy 17 bottles of orange juice at Store B for a total cost of $13.26.
Answer: x is the amount of orange juice they can buy. And y is the amount of money they have. Set y equal to 13.26 and solve the equation.
Step-by-step explanation:
Answer: x is the amount of orange juice they can buy. And y is the amount of money they have. Set y equal to 13.26 and solve the equation.
I answered your other one please mark me brainliest please I just need one more:)
-lukelaws
A trapezoid’s longer base is three times the length of its shorter base. If the trapezoid has an area of 32 square feet and a height of 4 feet, what is the length of each base?
Answer:
longer base: 10 2/3
shorter base: 5 1/3
Step-by-step explanation:
you first take 32 divided by 4 and then multiply that by 2 and you get 16 and then you divide that by 3 and you get 5 1/3 but then the longer one is 5 1/3 plus 5 1/3 (i hope that makes sense)
please help me 50 points and brain thing
We can see that both circles have the same radius. This means that the circles have same areas. Therefore, the area of the figure is the difference of the area of the rectangle and the sum of the area of the two circles.
Area of rectangle:The area of a rectangle is the vertical side length multiplied with the horizontal side length.
Area of rectangle = Length × WidthArea of rectangle = 12 × 6Area of rectangle = 72 ft²Area of circle:Substitute the radius in the formula to determine the area of the circle.
Area of circle = πr²Area of circle = π(3)²Area of circle = π(9)Area of circle ≈ (3.14)(9)Area of circle ≈ 28.26 ft²Area of shaded region:Area of shaded region ≈ Area (rectangle) - [Area (circle) + Area (circle)]Area of shaded region ≈ 72 - (28.26 + 28.26)Area of shaded region ≈ 15.48 ft² ≈ 16 ft² (Option E)Solution (Question 2):To determine the area of the shaded region, we need to determine the area of the square, then subtract it with the area of the circle.
Area of square:The area of a square is the measure of its side, squared. Therefore,
Area of square = (Side)²Area of square = (16)²Area of square = 256 in²Area of circle:The formula that determines the area of a circle is πr². We can tell that the radius of the circle is required to determine the area of the circle, as the formula to determine the area of a circle (πr²) includes the variable "r", which is the radius of the circle.
How to determine the radius of the circle?
Since we are given the diameter of the circle, we can determine the radius of the circle by creating an equation that represents the relationship between a diameter and radius. Then, substitute the diameter in the equation and solve for the radius of the circle.
Determining the radius of the circle:
It should be noted that the diameter is twice larger than the radius. Therefore, the equation that represents the relationship between the radius of the circle and the diameter of the circle is;
Diameter = 2(Radius)Substitute the diameter in the equation to determine the radius of the circle.
16 inches = 2(Radius)Divide 2 to both sides of the equation and simplify both sides:
16 inches = 2(Radius)16 inches/2 = 2(Radius)/2Radius = 8 inchesSubstitute the radius in the formula to determine the area of the circle.
Area of circle = πr²Area of circle = π(8)²Area of circle = π(64)Take π as 3.14
Area of circle = (3.14)(64)Area of circle ≈ 200.96 inches²Area of shaded region:Area of shaded region ≈ Area of square - Area of circleArea of shaded region ≈ 256 - 200.96Area of shaded region ≈ 55.04 inches² ≈ 55 inches² (Option C)Final answers:1) Option E2) Option CFind the Surface Area of the prism please
PLS help MEEEEEEEEEEEE
A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 400 passwords one character at a time.
A uniform probability model is used to predict the first character in the password.
What is the prediction for the number of passwords in which the first character is a vowel?
Round your answer to the nearest whole number.
56 passwords
77 passwords
111 passwords
233 passwords
who ever answer first will get brainiest
Answer:
56
Step-by-step explanation:
i took the test
GUYS I NEED HELP PLS HELP ME!! ,>v<,
Answer:
31.6
i think
Because 39 1/2 divided by 1 1/4 is 31.6
Hope This Helps
Answer:
31.6
Step-by-step explanation:
Alright lets take a deep look at the question. It is asking for the miles/gallon, or miles per gallon so we already have our format set. Now for the important information, how do we find unit rate?
Simply put, we divide the unit numerator by the quantity in the denominator. Alright, so we have 39.5/1.25 already, which gives us a highway to our answer through dividing the numbers as they are shown.
Therefore, our unit rate is 31.6 miles per every gallon of fuel.
Hope this was helpful!
Your sister says that the angles ∠DCA and ∠BCA are supplementary angles. Is she correct? Explain your reasoning.
Is triangle DCA congruent to triangle BCA? Explain.
Proving congruency:
CA = CA, reflexive
m ∠DCA = m ∠BAC, alt interior ∠
m ∠BCA = m ∠DAC, alt interior ∠
triangle DCA = triangle BCA, ASA
Supplementary angles means a pair of angles adding to 180 degrees.
180 degrees would be a straight angle.
∠DCA + ∠BCA = ∠DCB, not a straight angle.
Hope this helped.
this is so confusing someone please help!!
Answer:
45.2
Step-by-step explanation:
help me with this please
Answer:
6.53
Step-by-step explanation:
What is 27.78% of 1728? (I need this fast!)
Answer: Image will give answer
Step-by-step explanation: Look at image for answer
Answer:
480.0384
Step-by-step explanation:
to solve for the percentage you can start with this equation... [tex]\frac{27.78 * 1728}{100}[/tex]
which can be further simplified to [tex]\frac{48003.84}{100}[/tex]
which means the answer will be [tex]\frac{480.0384}{1}[/tex]
Consider the scatter plot
Choose True or Falso for each statement
The scatter plot shows no association True False
As the x-values increase, the y-values increase True False
Correct Answer Gets Brainliest
Please answer quickly this is timed
the map below is being reduced by scale factor of 1/3 and printed for the subway station how many square inches will the new map take up?
b=15 h=21
Answer: b=5 H=7
Step-by-step explanation:
15/3 = 5 21/3=7
help meeeeeeeeeeeeeeee
Answer:
If the earth didn't have a tilt, then we would only have one season which would most likely correspond to spring or autum.
Step-by-step explanation:
We would also expirience a mini summer when the earth is closest to the sun and we would expeirience a mini winter when the earth is farthest from the sun. Every where on the Earth would have a 12 hour sunlight days. It would still be warm at the equator and cold at the poles.
[I hope this answered your question ᓚᘏᗢ]
Answer:
If the earth didn't have a tilt, then we would only have one season which would most likely correspond to spring or autum.
Step-by-step explanation:
Simplify the following expression: (7x - 9y) + (2x - 7) - (-x + 5)
Answer:
10x−9y−12
Step-by-step explanation:
2 lines intersect in diagram shown. What's the value of x?
options:
37
53
127
217
Answer:
53, im not sure if it's correct though
Step-by-step explanation:
Which of the following is a net of a triangular prism?
A) Figure A
B) Figure B
C) Figure C
D) None of these
The two numbers rolled can be added to get a sum. Find P (sum is greater than 5)
HELP
5/6
13/18
5/18
1/3
Explanation:
1) Draw a table
+ 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
2) Then you count how many are above 5 (not in bold). I got 26, so this will be your numerator.
3) Finally, for the denominator, do 6x6 which is 36.
Answer:
Your answer as a fraction will be 26/36 (if asked to simplify, then it's 13/18)
Find x in the diagram below.
Answer:
20°
Step-by-step explanation:
1) Opposite angles are equal, so the opposite will be 140°.
2) Then, you do 140+110+90+90 (since A and D are at right angles) which gets you 430°
3) Finally, since its a pentagon, you do 540° - 430° which is 110°
Answer:
x=110
Step-by-step explanation:
HELP!!!
Which line segments are intersecting?
Answer: D
Step-by-step explanation:
The two lines are touching.
Answer: D
Step-by-step explanation: The lines are intersecting in D because they are going through each other or crossing eachother.
A national survey of middle school students asks how many hours of sleep they get on school nights. Which sample best represents the population?
a.) A group of 941 students in eighth grade in a certain town
b.) A group of 886 students in sixth grade in a certain county
c.) A group of 795 students in seventh grade in different states
d.) A group of 739 students in different middle school grade levels from various states
Answer:
D
Step-by-step explanation:
It wouldnt be a single grade being surveyed so we would choose d in additon a and b isnt national since it says 'in a certain town' and 'in a certain county'.
Which leaves you with D.
The dot plot shows the number of fish that are in each fish bowl at a certain pet store. A dot plot whose number line is labeled Number of fish. There are 2 dots above 1, 3 dots above 2, 2 dots above 3, 4 dots above 4, 2 dots above 5, 5 dots above 6, 1 dot above 7, and 1 dot above 9. How many fish bowls are at the pet store? Enter your answer in the box.
Answer:
37
Step-by-step explanation: