The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
The treasury bill at maturity is worth $13,742.19.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $10,000
r = 16%
t = 2 years
n = 12
Now,
A = 10,000 [tex](1 + 0.16/12)^{24}[/tex]
A = 10,000 [tex](1.0133)^{24}[/tex]
A = $13,742.19
Thus,
The treasury bill at maturity is worth $13,742.19.
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Lucy spent $15 of her money. If m represents her money, which expression shows how much money Lucy will have left?
A. 15−m
B. m−15
C. m15
D. 15+m
Of course it's B
B. m-15
m represents her amount of money she has altogether.she spent $15. This shows she spent $15 from her total money. So subtract her total amount of money with the amount of money she spent.
m-15
This expression will show how much money she has left with her.
may this helps you
bye.
Can someone please help me !!!!!
Answer:
Step-by-step explanation:
Sorry I didn't mean to do that.
Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
a. What is the total running distance of the four runners?
b. Jada ran how much farther than Noah?
Answer:
26.56300 1.97700
Step-by-step explanation:
You add up all of them which was 26.5630 then you do 7.1-5.123+1.97700
Answer:
a. 26.563 milesb. 1.977 milesStep-by-step explanation:
Given,
Distance Noah ran = 5.123 miles
Distance Andre ran = 6.34 miles
Distance Jada ran = 7.1 miles
Distance Diego ran = 8 miles
Hence,
a. Total running distance of four runners
= (5.123 + 6.34 + 7.1 + 8) miles
= 26.563 miles (Ans)
b. Distance more ran by Jada than Noah
= (7.1 - 5.123) miles
= 1.977 miles (Ans)
If a bear and half give birth to a cub and a half in a day and a half, how many Cubs will six bears give birth to in seven days?
Answer:
28 cubsStep-by-step explanation:
See ratios and step changes below
Bears >> Cubs >> Days1.5 1.5 1.51.5 1 11.5 7 76 28 7PS
Mike has attempted 84 free throws. Of those attempted,
63 have gone in the basket. Based on this rate, what is the
probability that Mike's next free throw attempt will go in
the basket?
Answer:
63 ÷ 84 = 0.75 // 75% // 3/4
Step-by-step explanation:
63 divided by 84 equals 0.75, 75%, or 3/4. meaning the probability of Mike making his next free throw 75%
_______ is the amount of space________ a two-dimensional shape. It can be measured in units such as_______ or _________
Answer:
Area; inside; centimeters; meters.
Step-by-step explanation:
Area is the amount of space inside a two-dimensional shape. It can be measured in units such as centimeters or meters.
In Mathematics, it is typically used to measure the amount of space contained in two-dimensional shapes such as a square, rectangle, circle, sphere, etc.
Consider the area of the following shapes;
I. The area of a circle = πr²
Where, r is the radius of the circle.
II. Area of square = L²
Where, L is the length of its sides.
III. Area of rectangle = Length * width.
Answer:
Area; inside; centimeters; meters.
Step-by-step explanation:
Area is the amount of space inside a two-dimensional shape. It can be measured in units such as centimeters or meters.
2x + 4x + 1 =- 7x
What is the answer?
PLEASE HELP!!! The amount of polonium-210 remaining, P(t), after t days in a sample can be modeled by the exponential function P(t) = 100e−0.006t, where 100 represents the initial number of grams in the sample. What is an equivalent expression, written as a percentage rate of polonium-210 lost, and how much polonium-210 remains (rounded to the nearest whole number) after 16 days?
Hint: Find the value of e−0.006 on your calculator. (7 points)
P(t) = 100e0.006t, 109 grams remain
P(t) = 100e0.994t, 3 grams remain
P(t) = 100(0.994)t, 91 grams remain
P(t) = 100(0.994)−t, 91 grams remain
Answer:
[tex]P(t)=100(0.994)^t[/tex]
Step-by-step explanation:
A calculator shows the value of [tex]e^{-.006} \approx 0.994[/tex] meaning that each day, about 99.4% of the sample remains.
The formula [tex]P(t)=100e^{-0.006t} = 100(e^{-0.006})^t=100(0.994)^t[/tex]
Evaluate this at t = 16 to get 91 grams remain.
PLEASE ANSWER ASAP. ILL GIVE 20 POINTS AND BRAINLIEST TO THE FIRST PERSON TO ANSWER WITH THE CORRECT ANSWER!!!!! At what TIME does the amount of water in the aquarium reach 0 liters if it decreases water 60 liters per minute?
Answer:
0 = x -60m
Step-by-step explanation:
x being the amount of liters of water originally in the aquarium
m being the amount of minutes it takes to empty the aquarium
You do not provide all of the necessary information. This is the best I can do with the information given.
I would appreciate Brainliest, but no worries.
Easy math worth 50 points Bc I’m desperate lol but I swear it’s not that hard only I can’t do it
5 ounces of soybean oil which costs $1 per ounce were combined with 10 ounces of canola oil
which costs $4 per ounce. Find the cost per ounce of the mixture.
Answer:
Step-by-step explanation:
45 buckarooss
easy collect money if there's 5 oz for $1 per ounce soybean oil would cost $5 for 5 OZ and then $4 for every ounce of canola oil 4 * 10 equals 40 so if equal $45 combined from both oil of ounces
Answer:
45$
Step-by-step explanation:
[tex]S=5*1\\S=5\\C=10*4\\C=40\\S+C\\5+40=45[/tex]
S= soybean oil cost
C= canola oil cost
Distance equals speed times time. What is the distance in kilometers that a car travels at the rate of 45kph 3 hours
Answer:
[tex]135\ \text{kilometers}[/tex]
Step-by-step explanation:
[tex]s[/tex] = Speed of car = [tex]45\ \text{kph}[/tex]
[tex]t[/tex] = Time = [tex]3\ \text{hours}[/tex]
Distance is given by
[tex]d=\text{Speed}(s)\times \text{Time}(t)[/tex]
[tex]\Rightarrow d=45\times 3[/tex]
[tex]\Rightarrow d=135\ \text{kilometers}[/tex]
The distance traveled by the car is [tex]135\ \text{kilometers}[/tex].
X = 10
3x + 5y = 20
What is the solution (x,y) of the system of equations?
Answer:
X=10
Y=-2
Step-by-step explanation: The value of X is given therefore you use it to find the value of Y in the equation:
3(10)+5y=20
5y=20-30
5y=-10
5y/5=-10/5
5 is cancelled out leaving y=-2
I hope this helps. :)
A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages.
What is the probability that you turn to page 45?
Find the volume of Figure B.
Answer:
where?
Step-by-step explanation:
Tickets to the movies cost $9.50 for adults and $6.50 for kids. A large group bought 12 tickets and spent a total of $87. How many kid's tickets did the group purchase?
Please include an equation.
Answer:
12
Step-by-step explanation:
Answer:
9 kids tickets
Step-by-step explanation:
Let k = no. of kid's tickets
12 - k = no. of adult's tickets
9.50(12 - k) + 6.50k = 87
95(12 - k + 65k = 870
1140- 95k + 65k = 870
- 30k = -270
k = 9 kids
Is -1.2, 0.6, 1.8, 3.0 an arthmetic sequence
Answer:
I believe not
2x - 2y + 5 = 0
Written in slope-intercept form
Answer:
y=x+2.5
Step-by-step explanation:
someone please help with this asap!!
Solve the right triangle shown in the figure. Remember, exact lengths can be approximated on a calculator. For
example, v3 1.732
ZA = 30°, AB = 24cm ZC = 90°
a
ZB = 60°, AC = 12cm, BC = 63cm
b. ZB = 60°, AC = 123 cm, BC = 12cm
C. ZB = 60°, AC = 6
6 v 3cm, BC = 12cm
d. ZB= 60°, AC = 12cm, BC =
-
12 V 3cm
Answer: D
Step-by-step explanation:
see the picture I got it wrong but it shows you the correct one is D
The missing values are
CB = 12 cm, AC = 12√3 and <B = 60.
What is Trigonometry?Trigonometry is a discipline of mathematics dealing with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).
We have <A = 30, AB = 24 cm, <C = 90
Now, using Trigonometry
sin 30 = CB/ AB
1/2 = a/ 24
a = 12 cm
and, cos 30 = AC/ AB
√3/2 = c/ 24
c = 12√3
and, Using Angle sum property
<A + <B + <C= 180
30 + 90 + <B = 180
<B = 60
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A map says that 4 centimeters represents 10 kilometers. What is the real distance that 18 centimeters represents?
Answer:
The real distance that 18 centimeters represent is 45 kilometers.
Step-by-step explanation:
In this case, you can use a rule of three to find the real distance that 18 centimeters represent given that 4 centimeters represent 10 kilometers:
4 cm → 10 km
18 cm → x
x=(18*10)/4
x=45 km
According to this, the answer is that the real distance that 18 centimeters represent is 45 kilometers.
A bird is flying at an altitude of 400 feet and descending to its nest located in a tree 20 feet above the ground. The angle from the nest to the bird is 24 degrees. Approximately how far is the bird from the nest.
ANSWER:
The answer is 934 If you make a right triangle with 380 as the height because the bird has 380 ft to go until the nest then you make the angle 24 opposite to that side. After you use sin to find the missing side which is 380/x= sin24 the answer you get is rounded.
Answer:T he bird will land at a radios of 20 feet in th air.
Step-by-step explanation: The object is falling 380 feet out of the air out of 400.
Each serving of a certain fruit snack contains 90 calories. a) Han wants to know how many calories he gets from the fruit snacks. Write an equation that shows the number of calories, c, in terms of the number of servings, n.
Answer:
c = 90n
Step-by-step explanation:
Let
Number of calories = c
Number of servings = n
Calories per serving = 90
Number of calories = Calories per serving × Number of servings
c = 90 × n
c = 90n
For example, if the number of servings is 4
c = 90n
c = 90 × 4
c = 360 calories
which number is irrational A. 2.7 B. -2. 7 C. 2/7 D. √7
Answer:
D
Step-by-step explanation:
because [tex]\sqrt{7}[/tex] is radical
What is the unknown angle measure in an equilateral triangle that has two angles of 60 degrees each?
Answer:
The third side will also be 60 as it is an equilateral triangle
Find the perimeter of the figure to the nearest hundredth. (I’ll mark brainliest if correct)
HELP ASAP!!!! thank you if you helped!!!
1 Professor Peterson is buying a writing
desk. The width of the desk must be less
than 4 ft.
HELP
The inequality of the width of the desk must be less than 4 ft is w < 4.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Inequalities are mathematical statements that compare two expressions using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).
In this case, the problem states that the width of the desk must be less than 4 ft.
We can use the symbol "<" to indicate that the width (w) is smaller than 4 feet. Therefore, we can write the inequality as w < 4, which means that any value of w that is less than 4 feet satisfies the given condition.
Thus,
The width of the desk must be less than 4 ft is w < 4.
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Prateek, Dipti and Manoj jogs daily in the morning around a square park,
they take, 6 mins, 5 mins, and 10 mins respectively to take one complete
round. In one morning, all of them start at same time from the same point and
jog in the same direction for an hour.
A- After how many minutes will all three of them meet again? (30 min)
B- How many times will they meet together during the one hour period?
C- What physical and emotional values can be created through this exercise
STEP BY STEP ANSWER
Answer:
A
To solve this find the LCM of 6, 5 and 10
6 = 2*35 = 510 = 2*5LCM(6, 5, 10) = 2*3*5 = 30They will all meet after every 30 min
B
1 hour / 30 min = 60 min / 30 min =2 timesC
Physical and emotional healthPLEASE HELP!!!!!! NO FILES OR LINKS!!!!!! PUT YOUR ANSWER THERE PLEASE!!!!!
Solve each equation.
13a=-5
12−b=12.5
-0.1=-10c
Answer: ⁻[tex]\frac{5}{13}[/tex] , 24.5 , 0.01
Step-by-step explanation:
13a = -5
[tex]\frac{13a}{13}[/tex] = ⁻[tex]\frac{5}{13}[/tex]
12 - b = 12.5
b - 12 + 12 = 12.5 + 12
b = 24.5
-0.1 = -10c
-10c ÷ (-10) = -0.1 ÷ (-10)
c = 0.01
What is the probability of getting 1 or 5 if a dice is thrown once?
Answer: %16.6
Step-by-step explanation:
there is 6 numbers on a dice
Step-by-step explanation:
1/6
because probability comes between 0 to 1
so ans is:
0.6