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Alex787 [66]
3 years ago
8

Which statement is true out of the value of money that you save increases over time , the value of money remains constant over t

ime, or the present value of money is greater than its future value?
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
None is necessarily true.

Even though you have your money in an interest-bearing savings vehicle, its value (purchasing power) may actually decrease if the interest rate is not at least as great as the inflation rate.

In periods of inflation, the value of money decreases over time. In periods of deflation, the value of money increases over time. It tends to be difficult to regulate an economy so the value of money remains constant over time.

The present value of money is greater than the future value in inflationary times. The opposite is true in deflationary times.

_____
In the US in the middle of the last century, inflation rates were consistently 2-3% per year and savings interest rates were perhaps 4-6%. Money saved actually increased in value, and the present value of money was greater than the future value. These days, inflation is perhaps a little lower, but savings interest rates are a lot lower, so savings does not outpace inflation the way it did. The truth or falsity of all these statements depends on where and when you're talking about.
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What is the equation in point slope form of the line that passes through the point
ch4aika [34]

Point-slope form:  y - y₁ = m(x - x₁)

[m is the slope, x₁ and y₁ ---> (x₁, y₁) is the point]

Since you know:

m = 5

(2, 6) = (x₁, y₁)       Substitute/plug in the values into the equation

y - y₁ = m(x - x₁)

y - 6 = 5(x - 2)   The 1st option is your answer

8 0
3 years ago
Write an equation for the perpendicular bisector of the line segment joining the two points.
Leona [35]
Points (1, 7)  and  (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

The slope for the line joining the two points =  (2 - 7) / (-3 - 1) = -5/-4

Slope = 5/4

Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5

By condition of perpendicularity

For points (1, 7)  and  (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7)  and  (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation  y - y₁ = m (x - x₁)

                y - 9/2 = (-4/5) (x - -1)
           
                y - 9/2 = (-4/5)(x + 1)

               5(y - 9/2) = -4(x + 1)

               5y - 45/2 = -4x - 4

                 5y =  -4x - 4 + 45/2
           
                5y + 4x = 45/2 - 4

                  5y + 4x = 22  1/2  - 4 =  18 1/2

                  5y + 4x =  37/2

                  10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37
7 0
4 years ago
Find 35% more than 90
juin [17]
90 x 135%  = 90 x 1.35 = 121.5  (notice that instead of finding 35% and adding it on, I included the 90 by mutliplying by 1.xx)  - in this case xx - 35 since it was a 35% increase.
4 0
3 years ago
Simplify help me to do this <br><br>​
snow_tiger [21]

Answer:

204

Step-by-step explanation:

90-5 (9-5 (9- (14-12) 3 ) ÷5

▪︎ First we have to solve the ones in the brackets ___ ( 14-12 ) which is e equal to 2

90-5 (9-5 (9- 2×3 ) ÷5 "the 3 comes inside the bracket coz we solved the previous one"

▪︎then we have to solve ( 9-2×3 ) which is equal to 3 _____ is 3 because if we go in the BODMAS way it will be

( 2×3 =6) , then... (9-6=3)

▪︎at the same time we can subtract 9-5 because we are done with the first bracket ( 9-5=4 )

90-5 (4×3)÷5

▪︎at the same time we can subtract 90-5 as well coz we are done with the first bracket ( 90-5=85)

▪︎then we can multiply (4×3) coz it's in the brackets (4×3=12)

85×12÷5

▪︎so then we hv to multiply 85 by 12 , then the answer is 1020

1020÷5

▪︎then divide (1020÷5=204)

☆90-5 (9-5 (9- (14-12) 3 ) ÷5

=90-5(9-5(9-2×3)÷5

=90-5(4×3)÷5

=85×12÷5

=1020÷5

=204

hope this helps☆☆☆

( sorry fr the long answer )

7 0
2 years ago
A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
kati45 [8]

Answer:

it takes 24 hours for the bacteria cells to increase to 300

Step-by-step explanation:

WE use the formula

C= A(b)^{\frac{t}{d}}

Where A is the initial amount of bacteria= 100

bacteria doubles every 15 hours so b=2

d= 15 because d is the time taken to double the number

t is the number of hours

c is the number of bacteria after t hours = 300

Plug in all the values and solve for 't'

300= 100(2)^{\frac{t}{15}}

Divide both sides by 100

3=(2)^{\frac{t}{15}}

Now we take log on both sides

log(3)=log(2)^{\frac{t}{15}}

As per log property we can move the exponent before log

log a^m = m log(a)

log(3)=\frac{t}{15}log(2)

Divide both sides by log(2)

\frac{log(3)}{log(2)} = \frac{t}{15}

Multiply both sides by 15

\frac{log(3)}{log(2)}*15=t

t = 23.77

So its approximately 24 hours


4 0
3 years ago
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