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ANTONII [103]
2 years ago
5

1. Find the rate of

Mathematics
1 answer:
Gre4nikov [31]2 years ago
6 0

Answer:

Rate of change: -3.5

Step-by-step explanation:

(-3,10.5) and (-2,7)

(7 - 10.5) / ( -2 - - 3)

= -3.5 / 1

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C.) of a total of $10,000, part was invested at 10% simple interest and the remainder at
nlexa [21]

Answer:

$3,500 at 10% and $6,500 at 7%.

Step-by-step explanation:

M * 10% + (10000 - M) * 7% = 805

0.1M + 700 - 0.07M = 805

0.03M = 105

M = 3500

4 0
2 years ago
How do you solve the equation 2/3 ÷3/11
Ber [7]
Reduce the expressions, if possible by cancelling the common factors.
Exact form: 22/9
Decimal form: 2.4
Mixed Number form: 2 2/9
5 0
3 years ago
Read 2 more answers
Please tell me the number four and five instructions are solve the system of simultaneously equation by using the substitution m
Alex777 [14]
4. 3x+(-x)=4
3x-x=4
2x=4
x=4/2
answers:
x=2
y=-2


5.
y=x-1
4x-y=19
-x+y=-1
4x-y(cross the y’s out they cancel eachother)=19
3x=18
x=6
-6+y=-1
y=-1+6
y=5
answers:
x=6
y=5
4 0
1 year ago
Read 2 more answers
The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponenti
mojhsa [17]

Answer: A) y=13e^{-0.1359t}

              B) H = 5.10

              C) Yes

Step-by-step explanation: <u>Exponential</u> <u>Decay</u> <u>function</u> is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: y(t)=Ce^{rt}

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

y(t)=Ce^{rt}

2.22=13e^{13r}

e^{13r}=0.1708

Using a natural logarithm property called <em>power rule:</em>

13r=ln(0.1708)

r=\frac{ln(0.1708)}{13}

r=-0.1359

The decay function for concentration of DDT through the years is y(t)=13e^{-0.1359t}

B) The value of H is calculated by y=C(0.5)^{\frac{t}{H} }

2.22=13(0.5)^{\frac{13}{H} }

(0.5)^{\frac{13}{H} }=0.1708

Again, using power rule for logarithm:

\frac{13}{H} log(0.5)=log(0.1708)

\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}

\frac{13}{H} =2.55

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model y(t)=13e^{-0.1359t} to determine concentration of DDT in 1995:

y(24)=13e^{-0.1359.24}

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

8 0
2 years ago
What is the standard form of y=-7x-2
Eva8 [605]

Answer:

7x+y= -2

Step-by-step explanation:

Add 7x to both sides to get Ax+By=C

Hope this helps ^-^

6 0
2 years ago
Read 2 more answers
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