Answer:
a) exponential growth b) 8000 c) 1.02 d) f(x) = 8000(1+.05/4)^(4)(5) e) $11887.58
Step-by-step explanation:
This situation is exponential growth because the money will be increasing over time. The initial amount is the amount invested in the beginning so in this case 8000. The growth factor is found by 1+r/n where r is the rate and n is the number of compounds per year so 1 + .08/4 where the r is expressed as a decimal and compounding quarterly means 4 times per year. The function is modeled by f(x) = P(1 +r/n)^nt. Evaluating the function gives f(x) = 8000(1 + .08/4)^(4*5).
Bao is mixing flour and water to make dough. The graph shows how much water he uses for different amounts of flour.
How many liters of water does Bao use per liter of flour?
Answer: He uses two litres of water for one litre of flour.
Step-by-step explanation:
What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 11 cm wide, and 9 cm tall?
Answer:
the longest segment is between 14 and 9
Step-by-step explanation:
this is the best answer in my eyes
The length of the diagonal of the rectangular prism will be 19.95 centimeters.
What is the diagonal of the rectangular prism?A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.
The length of the diagonal of the rectangular prism is given as,
D² = L² + W² + H²
The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.
The diagonal length is calculated as,
D² = 14² + 11² + 9²
D² = 196 + 121 + 81
D² = 398
D = 19.95 cm
The length of the diagonal of the rectangular prism will be 19.95 centimeters.
More about the diagonal of the rectangular prism link is given below.
https://brainly.com/question/29708744
#SPJ7
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize
Answer:
Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%
Please Help its A Math Problem !! Is the following equation linear, quadratic, exponential or none of these?
f(x)=3x^2+2x
Question options:
Linear
Quadratic
None of these
Exponential
Answer:
I'm pretty sure that it's exponential but I'm still going over this topic in class.
Find the missing dimension. Use the scale 1 : 15.
Actual Figure skater Height: 67. 5 in.
Answer:
4.5 inches
Step-by-step explanation:
1/15 of 67.5
This is if you are looking for the proportional height. That's all I can solve with given this info.
The volume of a right triangular prism is 72 cubic feet. the height of the prism is 9 feet. the triangular base is an isosceles right triangle. a right triangular prism has a volume of 72 cubic feet. triangles a e c and b f d are the base triangles. sides f d and b f are congruent and form a right angle. the height of the prism is 9 feet. what is the area of the triangular base? square feet what is the length of edge df? feet
Answer:
8 square feet
Step-by-step explanation:
The formula of a volume of a prism:
We have
Substitute:
divide both sides by 9
Answer:
8 and 4Step-by-step explanation:
The first one is 8
The second one is 4
I will give braniest An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?
A.
5 in.3
B.
7 in.3
C.
19 in.3
D.
29 in.3
7 in.3 hope it helps
Pls help me with this
range is the highest minus the lowest
Step-by-step explanation:
so a is 599- 132 = 467
for b median is the middle number 132 and 599
so u add them then divide by 2 so the answer of b is 365.5
Can someone help this is due in like 20 minutes Find the value of x in the triangle shown below. 58° 6 6 5.8
Answer:
I'm wonde what it is because I like this stuff
The required value of angle x in the given triangle using the sine formula is 61.31
The triangle is shown in the figure, we have to determine the value of angle x in degrees.
To determine the angle, we must apply the sine formula using the angle-side combination.
Sine formula is given as:
sinA/a = sinB/b=sinC/c
sin58/5.8=sinx/6
Simplifying the above expression:
sinx=0.877
x = sin⁻¹(0.877)
x= 61.31°
Learn more about the sine formula here:
https://brainly.com/question/32029921
#SPJ4
») b. The area of the parallelogram is 65 ft2. What is its height? mm th 13 ft 13
Answer:
Five feet
Step-by-step explanation:
H = A ÷ L
H = 65 ÷ 13
H = 5 ft
There is a population of 56,950 bacteria in a colony. If the number of bacteria doubles every 370 hours, what will the population be 1,850 hours from now?
Answer:
370×1850= 6,84,500
and then
56,950+6,84,500=7,41,450
the population will be 7,41,450
The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
What is multiplication?Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.
Given:
The population of bacteria, P = 56950,
If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,
So, the no doubles 5 times in 1850 hrs,
Now if it doubles 1 time it will be 56950 × 2, and
for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2
P = 1822400
Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ2
Lillie and Adam are simplifying the expression 643
Whose reasoning is correct?
Answer:
The first one
"Only Lillie is correct" that's the right answer.
Step-by-step explanation:
64^2/3 = 16
i got the first part but cant figure out the second, help would be appreciated
Answer:
see explanation
Step-by-step explanation:
look at the explanation& answer photo
Will give Brainly Fivue starts and a tThanks
Answer:
y = x + 9
Step-by-step explanation:
Since each x input can be added by 9 to get the y outputs, the equation is y=x+9
Hope this helps :)
Find the probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice
Answer:
19.308
Step-by-step explanation:
The probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice is 0.083
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We assume that the probability of throwing a sum of 10 in a pair of fair dice is
[tex]\frac{n(5,5)(6,4)(4,6)}{n\: all\: events}[/tex]
= 3/36
= 0.083
Learn more about probability here;
https://brainly.com/question/11234923
Lillian walked 5 miles in 3 hours. What was her walking rate in miles per hour?
3
Answer:
5/3
Step-by-step explanation:
Given:
5 miles per 3 hoursThe question:
Rate formatted in miles per hour.
Which would be:-
5 miles per 3 hours
= 5/3
True or false the incenter of a triangle is the center of the only circle that can be circumscribed about it?
Answer:
true because the center of the triangle is in the middle
Solve for all values of x by factoring.
x2 – 2x – 28 = -6x + 4
X
=
There are two answers
Answer:
{4,-8}
Step-by-step explanation:
x^2 -2x -28 = -6x +4
x^2+4x-32=0
(x-4)(x+8) =0
x=4 or -8
-5x - 2y = 12 and 3x +2y = 8 using elimination as an ordered pair
Answer:
(-10, 19)
Step-by-step explanation:
Hey there!
In order to find the value of x and y, you need to make a system of equations
Now the question says to use elimination
The elimination method is when you make two values the same and then eliminate them with the proper sign: addition, subtraction, etc.
In this case, the step of making equal values is already done for us since there is 2y in both equations
[tex]-5x-2y=12\\3x+2y=8\\\\-2x=20\\x=-10\\[/tex]
What was done was called elimination
I added both equations together and when you add -2y and 2y, they eliminate each other
Now when you simplify the system, you get that x is equal to -10
Now we can substitute this value into the first or second equation
I am going to do the first equation
[tex]-5(-10)-2y=12\\50-2y=12\\-2y=-38\\y=19[/tex]
So after substituting the x value in the equation, we got the y value
Which is 19
So the solution to this system of equations is:
(-10, 19)
Please help me solve this
Answer:
x = 24
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]
consider left side
[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]
= [tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{3x}{6} }[/tex]
= [tex]5^{\frac{4x}{6} }[/tex]
then
[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]
since the bases on both sides are equal, both 5 then equate exponents
[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )
4x = 96 ( divide both sides by 4 )
x = 24
The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this
I will give some hints. We know most values, we have to solve for y as that is the remaining amount.
y = We have to find.
a = 550 mg (She takes this much)
r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)
t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.
I hope this helps!
Two numbers have a sum of 1,212 and a difference of 518. What are the two numbers?
Answer:
347 and 865
Step-by-step explanation:
Let the two number be x and y
Therefore, from the given information:
x + y = 1212
x - y = 518
Rewrite both equations to make x the subject:
x = 1212 - y
x = 518 + y
Equate equations and solve for y:
1212 - y = 518 + y
694 = 2y
y = 347
Substitute found value of y into one of the equations and solve for x:
x = 518 + 347
x = 865
Therefore, the two numbers are 347 and 865
what is math for
like what do we use it for whats the point of math no one uses it
Answer:
The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.
Step-by-step explanation:
3. Si:{3x− (a − 2)y = 13 4x+ ay = 5 Es un sistema compatible determinado,determina el valor que no puede tomar “
Answer: yes
Step-by-step explanation:
Calculate the mean and median of: 202, 199, 223, 198, 223, 223, 301, 199.
Answer:
mean =225.25, median= 212.5
Step-by-step explanation:
You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5
Pls give brainliest ily<3
Simplify.
Rewrite the expression in the form 8".
(8-8)(83) =
Answer:
Simplifying th exprsssion brings it down to zero
Hope this helps
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored
The percentage of cupcakes sold that day were mocha flavoured will be 57%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavoured.The percentage will be calculated as:-
P = 171 / 300
P = 0.57
P = 0.57 x 100
P = 57%
Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
Solving distance problems-
10 points
Answer:
1. 54 and 9/20 km
2. 80 mm
3. 1.142 mi
4.0.83333 cm
Step-by-step explanation:
Do them all by the butterfly method.
is 69 less then a right angle
Answer:
yes it is less then a right angle
Step-by-step explanation:
what three ratios are equivalent to 6/18
Answer: 3:9, 1:3, 12:36
Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.