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hoa [83]
2 years ago
13

after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that m

onth?​
Mathematics
1 answer:
Marina CMI [18]2 years ago
6 0

Answer:

9000

Step-by-step explanation:

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A principal of $450 is deposited in an account that pays 2.5% interest compounded yearly. Find the account balance after 3 years
KonstantinChe [14]
A=p(1+r)^t
A=450×(1+0.025)^(3)
A=484.60
4 0
3 years ago
Read 2 more answers
Using a savings amount of $450, assume you deposited the total amount
ankoles [38]

Answer:

<h2> 7.3%</h2>

Step-by-step explanation:

Using the formula for calculating the simple interest to get the rate of return;

Simple Interest = Principal * Rate * Time/100

Given Principal = $450,

Time (in years) = 1 year

Simple interest = $32.75

Rate (in %) =?

Substituting the given values in the given formula to get the rate;

32.75 = 450*1*R/100

450R = 3275

R = 3,275/450

R = 7.3%

The rate of return is  7.3%

4 0
3 years ago
If two objects travel through space along two different curves, it’s often important to know whether they will collide. (Will a
galina1969 [7]

Answer:

<em>Both objects collide at t=3 in the point  <9,9,9></em>

Step-by-step explanation:

<em>Collision Of Moving Objects </em>

Two objects can describe different trajectories in the space. Those trajectories can intersect in one or more points but it doesn't mean they collide. Collision occurs if they are in the same position at the same time. If we know the positions as a function of time of each object, we could try so find if, for a given time, they are in the same position.

The positions of two object are given as

r1(t)=

r2(t)=

Let's find out if there is at least one value of t that makes both positions to be the same. We can try by equating one of the three coordinates and testing if the value of t make both have the same x,y,z coordinate. Let's try equating the x-components of both

t^2=4t-3

Rearranging

t^2-4t+3=0

Factoring

(t-1)(t-3)=0

We found two solutions

t=1,\ t=3

for t=1 the x-coordinates are

x1=t^2=1

x2=4t-3=1

For t=3

x1=t^2=9

x2=4t-3=9

Now we'll test both values in the y-coordinates

y1=7t-12

y2=t^2

For t=1

y1=-5

y2=1

Thus they don't collide at t=1. Let's try t=3

y1=7(3)-12=9

y2=3^2=9

Now let's try the z-coordinate for t=3

z1=t^2=9

z2=5t-6=9

Since the three coordinates match, we can say both objects collide at t=3 in the point  <9,9,9>

6 0
3 years ago
What is the value of x?<br><br> What is the measure of
liraira [26]

Answer:

x is 10

Step-by-step explanation:

Form the diagram, you can see that UV is parallel to TS, this means that <UVS  = < UTS

Given

<UVS = 5x + 38

<UTS = 12x - 28

Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;

5x + 38 + 12x - 28 = 180

Collect like terms

5x + 12x - 28 + 38 = 180

17x + 10 = 180

17x = 180-1-

17x = 170

x = 170/17

x = 10

hence the value of x is 10

4 0
3 years ago
A punch recipe requires 3 1/2 cups of lemonade to make 5 gallons of punch. Using the same recipe, what is the amount of lemonade
kirill [66]

Answer:

0.7 cups

Step-by-step explanation:

5 gallons, use 3 1/2 cups = 3.5 cups of lemonade

so 1 gallon, use 3.5/5 = 0.7 cups of lemonade

5 0
3 years ago
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