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DochEvi [55]
3 years ago
10

Claire is going to invest in an account paying an interest rate of 5.4% compounded daily. How much would Claire need to invest,

to the nearest hundred dollars, for the value of the account to reach $260 in 14 years?
Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

P ≈ 100

Step-by-step explanation:

260 = P(1+0.054/365)^365(14)

260 = P(1.000147945)^5110

260= P(2.129621112)

P= 122.087444818

P ≈ 100

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Vaselesa [24]

Answer:

(a) We will form an equation of line from the points given (6,10) and (2,15)

Using:y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)

On substituting the values in the formula above we will get the required equation of line.

y-10=\frac{15-10}{2-6}\cdot (x-6)

\Rightarrow y-10=\frac{5}{-4}\cdot (x-6)

On simplification we will get:

y=\frac{1}{4}(-5x+70)

(b) We need to tell at day 0 put x=0 in above equation:

y=\frac{1}{4}(-5\cdot 0+70)

y=70

Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.

Now, we need to tell decrease per day which is equal to the slope of line

To find the slope compare the equation with general equation which is y=mx+c where m is slope

Here, in y=\frac{1}{4}(-5x+70)

m=\frac{-5}{4}  which is the decrease per day.


3 0
3 years ago
△PQR is similar to △STU . In addition, m∠U=96° and m∠T=6(m∠P) . What is m∠P ? Enter your answer in the box. °
kenny6666 [7]
<span>△PQR is similar to △STU

</span>m∠R = m∠U = 96°

m∠Q = m∠T = 6

m∠P = 180 - ( 96 + 6)

m∠P = 180 - 102

m∠P = 78
 
answer 

m∠P = 78
7 0
4 years ago
Read 2 more answers
2 x - 17 = 11.<br> Help please
Svet_ta [14]

Step-by-step explanation:

Perhaps you want to solve the equation for the value of x. If so then let us work it out:

2x - 17 = 11 \\ 2x = 11 + 17 \\ 2x = 28 \\ x =  \frac{28}{2}  \\  \huge \red { \boxed{x = 14}}

8 0
3 years ago
If the diameter is 15.5 cm what is the circumference
tresset_1 [31]

Answer:

see below

Step-by-step explanation:

The circumference is given by

C = pi *d

C = 15.5 pi

If we approximate pi by 3.14

C = 15.5 * 3.14

C =48.67

If we use the pi button

C =48.69486813

8 0
3 years ago
Choose 3/8 written as a decimal
Solnce55 [7]

Answer:

simple we divide 3 by its denominator 8 to get : 0.375

Step-by-step explanation:

5 0
3 years ago
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