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lutik1710 [3]
3 years ago
7

Hannah has invested £1000 in a bank account. She creates a formula to show her the money she has in her account (M) and given am

ount of years (n). M=1000x(1.029)^n. Looking at her formula,what is the interest rate of the bank account?
Mathematics
1 answer:
Kryger [21]3 years ago
4 0
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5x + 2 = 22 plzzzzzz hellpppp
Mamont248 [21]

Answer:

x=4

Step-by-step explanation:

subtract 2 from both sides---

5x + 2 - 2 = 22 - 2

simplify ---

5x=20

Divide both sides by 5 -----

5x/5 = 20/5

simplify -----

x-4

hope this helps :)

5 0
2 years ago
Jan walks 40 meters in 15 seconds what is her rate?
schepotkina [342]
The answer is 2.67 seconds per second when rounded but 2.66666...
6 0
3 years ago
suppose the solution x = 6 increases to x = 9, and the left side of the equation stays the same. How would the right side need t
PilotLPTM [1.2K]
X = 9 - 3, does this help?
7 0
3 years ago
Read 2 more answers
A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away
Tom [10]

Answer:

80 units

Step-by-step explanation:

v = 1/3 bh

v₁ = 1/3 * b * h₁ = 344

v₂ = 1/3 * b * h₂ = 301

v₁ / v₂ = h₁ / h₂ = 344 / 301

h₂ = h₁ - 10

h₁ / (h₁ - 10) = 344 / 301

344 * (h₁ - 10) = 301 * h₁

344* h₁ - 3440 = 301 * h₁

43 * h₁ = 3440

h₁ = 80

4 0
2 years ago
Jean throws a ball with an initial velocity of 64 feet per second from a height of 3 feet. Write an equation and answer the ques
Korvikt [17]

Answer:

Step-by-step explanation:

From what I understand about parabolic motion in the English system, the equation for flight is

s(t)=-16t^2+v_{0}t+h_{0}

where v_{0}t is the initial upwards velocity and

h_{0} is the initial height from which the object was launched.  Filling in that equation with those values gives you

s(t)=-16t^2+64t+3.  That's a.

In order to determine how long it will take the ball (or rocket...the problem is mixing up the 2) to reach its max height you need to put the equation into vertex form, since the vertex of a parabola is the absolute max (or min depending upon the parabola) of the function.  The absolute max is the heighest that the ball will go.  Completing the square is the way to solve this.  Begin by setting the equation equal to 0, the moving the 3 over by subtraction:

-16t^2+64t=-3

Now factor out the -16 since the leading coefficient HAS to be a positive 1:

-16(t^2-4t)=-3

Now take half the linear term (half of 4t which is 2), square it (4) and add it into the parenthesis:

-16(t^2-4t+4)=-3

BUT since you added in a 4*-16 on the left you have to add it in on the right:

-16t^2(t^2-4t+4)=-3-64

which simplifies to

-16(t-2)^2=-67

Now bring the 67 over by addition and you have your vertex:

s(t)=-16(t-2)^2+67.

The vertex is (2, 67).  The 2 stands for time, so 2 seconds, and the 67 stands for feet, so at 2 seconds the max height is 67 feet.

How long it will be in the air is found by factoring to find the zeros.  These can be found by plugging the quadratic into the quadratic formula and getting that the zeros are -0.046 and 4.046

So the quadratic starts a tiny tiny bit to the left of the origin, but for all intents and purposes we can say it starts at the origin (x = 0) and ends at

x = 4.05 seconds.  Which makes sense if you know anything about parabolic motion and physics.  The vertex indicates not only the time and the max height at that time, it also is indicative of the halfway mark.  Meaning that if it takes 2 seconds to reach its max height, it will hit the ground at 4 seconds.  And 4.05 is close enought to 4 (but since you were told to round to the nearest hundredth, that .05 matters).  Sorry it's so long, but it's not a question that can be answered with just a few sentences.

5 0
3 years ago
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