====================================================
Explanation:
One general template of exponential functions is
f(x) = a*(b)^x
The 'a' is the initial amount, which in this case is a = 300
----------------------
Extra info:
The b is the base of the exponential, which is b = 1.16
The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.
Suhana's father is a farmer. He deposits Rs.1200 of the remaining amount in the bank at 9% p.a. for 3 yrs
Calculate the amount the farmer will receive at the end of 3 yrs
Answer:
Given :principle =Rs. 1200
rate of interest =9%
time =3yrs
we know that simple interest =PTR /100
=1200*9*3/100
=Rs. 324
Amount of the farmer will receive at the end of the 3 yrs =principle + interest
=1200+324=1524/-
the area of rhombus is 60 square CM one diagonal is 10 cm The Other diagonal is
Answer:
area of rhombus=1/2d1d2
Step-by-step explanation:
60=1/2×10×d2
60×2=10×d2
120/10=D2
12=D2
therefore othr diagnol is 12
hope it helps!
Joanna, Mary, Betty, and Leah ran a race. Joanna's time was 13.03 seconds, Mary's was 13.284 seconds,
Betty's was 13.62 seconds, and Leah's was 13.9 seconds. In what order did they finish? Who won
Answer:
1st-joanna
2nd-Mary
3rd-Betty
4th-leah
Step-by-step explanation:
joanna won the race
Answer:
Joanna won followed by Leah ,then Betty and lastly Marry
Jessica and Maria got to the supermarket to buy fruit. Jessica
buys 5 apples and 6 oranges and her total before tax is $3.05.
Maria buys 7 apples and 6 oranges and her total before tax is
$3.55. What is the price of each fruit?
Answer:$0.25 per apple
$0.30 per orange
Step-by-step explanation:
I knowwww iM aMbitious and i helped 126
people
WILL GIVE BRILLIANTIEST Select the better deal in the pair. Then give the unit rate for the better deal.
$90 $222
or
3g 69
The (select) y deal is better. The unit rate of the better deal is $
Vg.
Answer:
The first deal is better, unit rate is 30
Step-by-step explanation:
90/3 is 30, 222/6 is 37. 90 is the better deal
The Perimeter of the stop sign is 261.6 centimeters. What is the side length x
Write an equation for the nth term of the geometric sequence 5,30,180,1080
Answer: [tex]a_{n}[/tex]=5*[tex]6^{n-1}[/tex]
Step-by-step explanation:
Which math expression means "an unknown number divided by 180"?
A. X. 180
B. X = 180
C. X- 180
D. x + 180
Helppp
Answer:
The answer should be, x ÷ 180 or [tex]\frac{x}{180}[/tex]
good luck, i hope this helps :)
80 YTL para Ahmet ve Murat Sirasiyla 3 ve 5 ile dogru
orantı olarak paylastiniyor. Buna göre, yapılan paylaşımda, murat
Ahmet ten Kaç YTL dağa fazla para alir ?
A 16
B-20
C 24
D. 32
sen Türksün be ne işin var senin burada
An archeologist finds an artifact that contains 44% of the carbon-14 that it would have had originally. What is the estimated age of the artifact? (The half-life of carbon-14 is 5,730 years.)
Answer:
the answer is that the carbon-14 is approximately 2600 years old
Angle A and angle B are complementary. Angle A has a
measure of (2X + 16). Angle B has a measure of 40. What is
the value of x?
Answer:
x = 17
Step-by-step explanation:
Angle A and angle B are complementary.
Therefore,
(2x + 16)° + 40° = 90°
(2x + 16)° = 90° - 40°
(2x + 16)° = 50°
2x + 16 = 50
2x = 50 - 16
2x = 34
x = 34/2
x = 17
Factor the expression completely.
18x2 - 8
A. 2(3x - 2)(3x - 2)
B. 2(3x + 4)(3x - 1)
C. 2(9x2 - 4)
D. 2(3x + 2)(3x - 2)
Step-by-step explanation:
18x²-8
= 2(9x²-4)
= 2(3x+2)(3x-2)
18x² - 8
Common factor is 2.
=》18x² - 8
=》2 (9x²- 4) [option C].
_____
RainbowSalt2222 ☔
uHhhhhHHHhHhHhHh heLp?
Answer and Step-by-step explanation:
Use the Pythagorean theorem to solve.
Plug in the value 5 for a, and 6 for b. c will stay as c.
[tex]a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c[/tex]
5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.
We then square root both sides of the equation to get c by itself, resulting in the square root of 61.
The square root of 61 becomes 7.810249676
c = 7.8102
To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.
If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.
#teamtrees #PAW (Plant And Water)
(c) Expand and simplify
(x-6)(x+9)
Answer:
x^2 +3x -54
Step-by-step explanation:
Use the method FOIL
(First, Outer, Inner, Last)
1. Multiply the 1st terms in bracket 1 and the 1st term in bracket 2:
(x × x)
2. Multiply the 1st term in bracket 1 and the 2nd term in bracket 2:
(x × 9)
3. Multiply the 2nd term in bracket 1 and the 1st term in bracket 2:
(-6 × x)
4. Multiply the 2nd term in bracket 1 and the 2nd term in bracket 2:
(-6 × 9)
5. You'll get the answer:
(x^2 + 9x - 6x - 54)
(x^2 + 3x -54)
Pleaseeee answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
GJ is perpendicular to IK
Step-by-step explanation:
GJ is perpendicular to IK
help , thanks for your help , a farm grew 19.8 tons of wheat in 2013 . The farm's wheat output increased by 9.8% from 2014 and by 5.1% from 2015 , which expression represents a strategy bfor estimating the total output of wheat , in tons in 2015?
Answer:
Step-by-step explanation:
D is a rough estimate because the actual output would be
9.8(1.098)(1.051)
Help me plssssss!!!!!
Answer:
si yo lo sé tú también cierto
the one-to-one functions g and h are defined as followg={(-2, -6), (3, -3), (6, -9), (9, 6)} h(x) = 2x-3
Answer: H (x ) = x ^2 − 3 x + C
its for h(x)=2x-3
Step-by-step explanation:
what is the sum 0 of -1
Answer:
If you mean 0 + (-1) then it's -1
simplify (12a5 − 6a − 10a3) − (10a − 2a5 − 14a4)
Answer: 14a^5+14a^4-10a^3-16a
Step-by-step explanation: sorry if it confusing but ^3 as an example is supposed to be the mini number that goes on top of that number.
-hope this helps
Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of the given points into it. Then, simplify to find the slope, or [tex]m[/tex]:
[tex]m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1[/tex]
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula [tex]y-y_1=m(x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. From there, we can convert the equation into slope-intercept form.
Since [tex]m[/tex] represents the slope, substitute 1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
[tex]y-3=1(x-0)\\y-3 = x\\y = x + 3[/tex]
Write an equation of the linear relationship in slope-intercept form. I need help on this question, I don’t know if it’s 3/2x+80/3 or 2/3x+80/3
Answer:
2/3x
Step-by-step explanation:
Which term is used to describe how light is reflected from a minerals surface
Answer:
Luster describes the reflection of light off a mineral's surface. Mineralogists have special terms to describe luster. Minerals that are opaque and shiny, such as pyrite, have a metallic luster.
Step-by-step explanation:
Jocelyn needs to write a 12-page paper for class. If she has already written 4 pages and can write 2 more pages per day, how many days will it take her to finish her paper?
Answer:
5 days
Step-by-step explanation:
skip counting
4, 6, 8, 10, 12 then count those and you have 5 days
The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x + 5)2 - 6(x + 5) +9
B. g(x) = (x2 - 6x + 9) + 5
C. g(x) = (x2 - 6x + 9) - 5
D. g(x) = (x - 5)2 - 6(x - 5) + 9
Answer:
D. g(x)=(x-5)^2 -6(x-5)+9
Step-by-step explanation:
math
Jess used
11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?
A- 30
B- 120
C-200
D-380
Answer:
Step-by-step explanation:
C
What is the first step when multiplying mixed numbers.
Answer:
To multiply mixed numbers, first change any mixed number to an improper fraction. Then multiply the numerators together and the denominators together, as shown in Example .
Step-by-step explanation:
AREA««« What is the area of the figure? 17. unt: 72 sq units 34 slunba
Answer:
1,444
Step-by-step explanation:
you just multiple 72 by 34
Answer:
lol same person but it's 41,616
Step-by-step explanation:
u muipuly all the numbers bc when u want to find the area u multiply
z is proportional to x^3. describe exactly what will happen to x when z became 8 times greater
Answer: x is doubled.
Step-by-step explanation:
A proportional relationship between x and y is written as:
y = k*x
where k is called the constant of proportionality.
In this case, we know that we have a proportional relationship between z and x^3
Then:
z = k*x^3
What will happen to x when z is 8 times greater?
Let's rewrite this equation for two new quantities, z' and x'
z' = k*(x')^3
Now we need to replace z' by 8*z, then:
8*z = k*(x')^3
We want to find a relationship between x' and x.
And by the first relationship, we know that:
z = k*x^3
Then we can replace this in the equation "8*z = k*(x')^3" to get:
8*(k*x^3) = k*(x')^3
8*k*x^3 = k*(x')^3
Now we can divide both sides by k, so we get:
8*x^3 = (x')^3
Now we can apply the cubic root to both sides, to get:
∛(8*x^3) = ∛(x')^3
∛(8)*x = x'
2*x = x'
Then when we increase the value of z 8 times, the value of x will be doubled.
$1.99 for 17Ib =_? i dont under stand it tbh
Answer:
0.12
Step-by-step explanation:
1.99 ÷ 17= 0.117
then you round and it becomes 0.12