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John, Sally, and Natalie would all like to save some money. John decides that itwould be best to save money in a jar in his closet every single month. He decidesto start with $300, and then save $100 each month. Sally has $6000 and decidesto put her money in the bank in an account that has a 7% interest rate that iscompounded annually. Natalie has $5000 and decides to put her money in thebank in an account that has a 10% interest rate that is compounded continuously.How much money have after 2 years?How much money will sally have in 10 years?What type of exponential model is Natalie’s situation?Write the model equation for Natalie’s situationHow much money will Natalie have after 2 years?How much money will Natalie have after 10 years
A central angle of a circle measures 1.2 radians, and the length of the related intercepted arc measures 6 cm. What is the diameter of the circle?
5550 divided by 10 to the third power
HELP ME PLEASE, I'M GIVING YOU ALL MY POINTS ;-; (which is 25)just these 3 questionz!!!!!!!!!
maximum height. Round your answers to the nearest tenth.
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Answer:
232.6 metres after 3.8 seconds.
Step-by-step explanation:
h(t) = -16t² + 122t
a = -16 b = 122 c = 0
Substitute into the quadratic formula
(Ignore the Â)
Split the equation at the ±
The two x-intercepts at 0 and 61/8. The midpoint of the x-intercepts is the axis of symmetry, which is the x-coordinate of the vertex.
Midpoint = [0 + (61/8)] / 2
Midpoint = 61/16 <= This is the time for maximum height
t = 61/16
t = 3.8125 => Round to t = 3.8
To find the maximum height, substitute t=61/16 into the equation
h(t) = -16t² + 122t
h(61/16) = -16(61/16)² + 122(61/16)
h(61/16) = 232.5625 => Round to h = 232.6
Therefore, the ball will reach the maximum height of 232.6 metres after 3.8 seconds.
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i hope this be helpful
have a nice day
B(3, 1)
C(1, –3)
D(–1, –3)
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The solution to the given system of equations is (3, –1). The correct answer is option A.
The system of equations is given as:
x - 4y = 7 ....(1)
5x + 9y = 6 ....(2)
Solve the first equation for x:
x = 7 + 4y
Substitute the value of x in the second equation:
5(7 + 4y) + 9y = 6
35 + 20y + 9y = 6
29y = -29
y = -1
Substitute the value of y back into the first equation to find x:
x = 7 + 4(-1)
x = 7 - 4
x = 3
Therefore, the solution to the system of equations is x = 3 and y = -1.
Thus, the correct answer is option A.
Learn more about the equation here:
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The complete question is as follows:
Solve the below system of equations.
x – 4y = 7
5x + 9y = 6
A. (3, –1)
B. (3, 1)
C. (1, –3)
D. (–1, –3)
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4/25 Oh OK! 4 divided by 25 equals.... 0.16! GG
:)-Kibeye
follow these steps:Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.Step 2: Multiply both top and bottom by that number.Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
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252 = 240 + 4n
252 - 240 = 240 - 240 + 4n
12 = 4n
4n : 4 = 12: 4
n = 3
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Since you cannot subtract the numerators, you have to take 1 from the whole number, so 9 turns into 8 and you add the denominator to the numerator to make the equation 8 15/9 - 4 8/9 which is 4 7/9 :).