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torisob [31]
3 years ago
8

Alvin is six years younger than Elga. The sum of their ages is 62. What is elga’s age?

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

34

Step-by-step explanation:

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Shandra's parents put $1,500 in her bank account for college tuition. At an interest rate
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$6,427.99

Step-by-step explanation:

-We first find the effective annual interest rate as follows:

i_m=(1+i/m)^m-1\\\\=(1+0.0825/2)^2-1\\\\=0.084202

#We the use this rate to find the compounded amount after 18 years:

A=P(1+i_m)^n\\\\=1500(1.084202)^{18}\\\\=6427.99

Hence, the amount after 18 years is $6,427.99

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What is the probability of rolling a 3 on a 6-sided 8)
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3 years ago
Carmen and Matt are conducting different chemistry experiments in school. In both experiments, each student starts with an initi
dangina [55]

This question is incomplete and it lacks an attached graph. Find attached to this answer, the appropriate graph.

Complete Question

Carmen and Matt are conducting different chemistry experiments in school. In both experiments, each student starts with an initial amount of water in a flask. They combine two chemicals which react to produce more water. Carmen's experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second. Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second. The graph represents the volume of water in the two flasks in relation to time. Which two conclusions can be made if f represents the volume of water in Carmen's flask and g represents the volume of water in Matt's flask? a) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [0, 2].

b) The volume of water in Carmen's flask is increasing at a faster rate than the volume of water in Matt's flask over the interval [6, 8].

c) The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.

d) The volume of water in Matt's flask will eventually be greater than the volume of water in Carmen's flask.

e) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].

Answer:

c) The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.

e) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].

Step-by-step explanation:

Looking at the graph, the average rate of change is given as [0,2], [4,6], and [6,8].

From the graph and question, we can tell that Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second

Which would gives us:

28% of 10 milliliter of water = 2.8 millimeters per second.

For Carmen , his experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second,

Because, Carmen starts with 30 milliliters of water in his flask, the volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.

Secondly, comparing the quantity as which the volume of the flask increases per second, at the interval of [4, 6], the volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval

7 0
3 years ago
The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic
zhuklara [117]

Answer:

C. $25

Step-by-step explanation:

We will find,

The slope of the function using \frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Taking the points (1,40) and (2,55).

Slope = \frac{55-40}{2-1}

i.e. Slope = \frac{15}{1}

i.e. Slope = 15

Substituting the slope and point (1,40) in the equation y=mx+b,

We have, 40=15\times 1+b

i.e. b=40-15

i.e. b= 25

Thus, the equation of the linear function is y=15x+25.

<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>

So, the initial value of the comic book is when x= 0.

So, y=15\times 0+25 i.e. y= 25

Hence, the cost of the book when Lucy purchased it was $25.

8 0
3 years ago
Read 2 more answers
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