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3 years ago

If you have a savings of $60.00 dollars in 2weeks and $120.00 dollars in 4weeks How much will this person save in 70 days?

Mathematics

1 answer:

Lorico [155]3 years ago

6 0

1) in first place , calculate the rate with the values given

r= 120-4/60-2 = 2, , now you need to Know which is the number of weeks contained in 70 days, ok, 1 week____ 7 days

x------------70 days , resolving it x = 10 weeks

2) Now as you Know the numbers of week and is 10 , you must establish a relation of proportion

$120/________4 weeks

$ X ___________ 10 weeks

X = $120*10 WEEKS / 4 WEEKS, X = $ 300, the quantity that a person can save to the end of tens weeks

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Y=x^2+3x-7 y-5x+8=0 how many solutions are there

motikmotik

X^2+3×-7=5x-8
X^2-2x+1=0
(X-1)(x-1)=0
X=1 x=1

Y=1^2+3*1-7
Y=1+3-7
Y=4-7
Y=-3

×=1 y=-3
Solution = (1,-3)
Answer= one solution

7 0

3 years ago

The equation for the linear function is y= BLANK1 x + BLANK 2 What are the blanks?

IrinaVladis [17]

Answer:

Answer:y=x divided by 3 times 5.

Step-by-step explanation:

if you divide x for example 6 by 3, you will get 2 then multiply it by 5, you will get 10, which is y.

7 0

3 years ago

Find the particular solution that satifies the differential equation and the initial condition. f"(x) = x2 f'(0) = 8, f(0) = 4

viva [34]

Answer:

f(x) = x^4/12 + 8x + 4

Step-by-step explanation:

f"(x) = x^2

Integrate both sides with respect to x

f'(x) = ∫ x^2 dx

= (x^2+1)/2+1

= (x^3)/3 + C

f(0) = 8

Put X = 0

f'(0) = 0+ C

8 = 0 + C

C= 8

f'(x) = x^3/3 + 8

Integrate f(x) again with respect to x

f(x) = ∫ (x^3 / 3 ) +8 dx

= ∫ x^3 / 3 dx + ∫8dx

= x^(3+1) / 3(3+1) + 8x + D

= x^4/12 + 8x + D

f(0) = 4

Put X = 0

f(0) = 0 + 0 + D

4 = D

Therefore

f(x) = x^4 /12 + 8x + 4

5 0

3 years ago

Exponential function

laiz [17]

A typical exponential function is y=a $b^{x}$
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a $b^{3.5}$
3936.6=a $b^{6}$
divide the second equation by the first to eliminate a:
243= $b^{(6-3.5)}$
log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a $* (3.6)^{3.5}$
a=0.183

please double check my calculation

5 0

3 years ago

Use the information given to answer the question. Vanessa and Moe record their quiz scores in music class for a semester. The do

Lorico [155]

Answer:

Vanessa records a total of 11 quiz scores

Moe records a total of 10 quiz scores

According to the data, Vanessa's mean score is 80

According to the data, Vanessa's median score is 85

The range of Moe's quiz score is 45

The interquartile range of Moe's quiz score is 16.25

Step-by-step explanation:

Vanessa's score is given in the dot plot

Moe's scores are; 75, 80, 90, 90, 95, 55, 100, 95, 85, 85

1) The number of quiz scores Vanessa records is given by the number of dots on the dot plot, n = 11 dots ≡ 11 quiz scores

2) The number of quiz scores Moe records is given by the number of data points, n = 10 data points ≡ 10 quiz scores

3) Vanessa's mean score = ∑x $_i$ /n

∑x $_i$ /n = (60 + 2× 65 + 75 + 4 × 85 + 2 × 90 +95)/11 = 80

Vanessa's mean score = 80

4) Vanessa's median score is the (11 + 1)/2 th score = Her 6th score = 85

Vanessa's median score = 85

5) The range of Moe's score = Her largest score - Her least score = 100 - 55 = 45

The range of Moe's score = 45

6) Sorting Moe's scores gives;

75, 80, 90, 90, 95, 55, 100, 95, 85, 85

55, 75, 80, 85, 85, 90, 90, 95, 95, 100

The first quartile, Q₁ = 11/4th score = 2.75th score = 75 + 0.75 × 5 = 78.75

The 3rd quartile, Q₃ = The 3/4×11 score = 8.25th score = 95 + 0.25 ×0 = 95

The interquartile range, I = Q₃ - Q₁ = 95 - 78.75 = 16.25

The interquartile range of Moe's quiz score = 16.25.

3 0

2 years ago