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Masteriza [31]
3 years ago
7

The blue dot is at what value on the number line?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

17.

Step-by-step explanation:

one dash is equal to 2. so just go by twos

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An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0
nikitadnepr [17]

Answer:

8\ years  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\ P=\$100\\A=\$150\\ r=0.05  

substitute in the formula above  

150=100(e)^{0.05*t}  

1.5=(e)^{0.05*t}  

Applying ln both sides

ln(1.5)=(0.05t)ln(e)  

ln(1.5)=(0.05t)  

t=ln(1.5)/(0.05)  

t=8\ years  

8 0
3 years ago
Read 2 more answers
Evaluate the piecewise function at the given values of the independent variable.
lutik1710 [3]

Answer:

a) f(-1) = 1

b) f(0) = 6

c) f(2) = 8

Step-by-step explanation:

If x is lesser than 0, we have that:

f(x) = 4x + 5

Otherwhise

f(x) = x + 6

(a) f(-1)

Here x = -1.

-1 is lesser than 0

Then

f(x) = 4x + 5

f(-1) = 4*(-1) + 5 = -4 + 5 = 1

(b) f(0)

Here x = 0

When x equals 0

f(x) = x + 6

Then

f(0) = 0 + 6 = 6

(c) f(2)

Here x = 2

When x = 2

f(x) = x + 6

Then

f(2) = 2 + 6 = 8

7 0
3 years ago
A proportion is shown.<br><br> 830=52x<br><br> What is the value of x?
marysya [2.9K]
830=52x

830/52=52x/52
Hence x = 15.96

Example:
<span>12 is 20% of 60. In order to get 12 percent of 60, all you need to do is to divide 12 with 60. To get the percent means to get the parts of 100. To get it in the form of percent, just multiply the quotient by 100. 12/60=.2 x 100 = 20% .</span>

8 0
3 years ago
Read 2 more answers
What is the product written in scientific notation? (1.4 × 103)(2.5 × 10–6) A. 3.9 × 10–3 B. 3.9 × 10–18 C. 3.5 × 10–3 D. 3.5 ×
schepotkina [342]
Hi

1.4 × 10³ × 2.5 × 10⁻⁶ = 1.4 × 2.5 × 10³ × 10⁻⁶ = 3.5 × 10⁻³

1.4 × 2.5 = 3.5 

10³ × 10⁻⁶ = 10³⁻⁶ = 10⁻³

Answer: C) 3.5 × 10⁻³
4 0
3 years ago
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If angle bisector EG is drawn find angle EGF
Gnesinka [82]

Answer:

90°

Step-by-step explanation:

because by bisecting the angle, you are going through the centre in this triangle. Splitting to triangle in half gives two right-angled triangles :)

sorry for bad drawing

6 0
3 years ago
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