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3 years ago

in Colorado the state sales tax is 2.9%. if you buy a $2100 computer in Colorado, how much state tax will you pay?

Mathematics

1 answer:

Shtirlitz [24]3 years ago

6 0

Answer:

$60.9

Step-by-step explanation:

Tax = 2.9% of Cost to be bought

= 2.9 / 100 × 2100

= $60.9

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An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date o

skelet666 [1.2K]

Answer:

x1=c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)

x2=c(30,42,47,47,43,41,48,44,43,50,56,60)

y=c(210,110,103,103,91,76,73,70,68,53,45,31)

mod=lm(y~x1+x2)

summary(mod)

R output: Call:

lm(formula = y ~ x1 + x2)

Residuals:

Min 1Q Median 3Q Max

-41.730 -12.174 0.791 12.374 40.093

Coefficients:

Estimate Std. Error t value Pr(>|t|)

(Intercept) 415.113 82.517 5.031 0.000709 ***

x1 -6.593 4.859 -1.357 0.207913

x2 -4.504 1.071 -4.204 0.002292 **

---

Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 24.45 on 9 degrees of freedom

Multiple R-squared: 0.768, Adjusted R-squared: 0.7164

F-statistic: 14.9 on 2 and 9 DF, p-value: 0.001395

a). y=415.113 +(-6.593)x1 +(-4.504)x2

b). s=24.45

c). y =415.113 +(-6.593)*21.3 +(-4.504)*43 =81.0101

residual =68-81.0101 = -13.0101

d). F=14.9

P=0.0014

There is convincing evidence at least one of the explanatory variables is significant predictor of the response.

e). newdata=data.frame(x1=21.3, x2=43)

# confidence interval

predict(mod, newdata, interval="confidence")

#prediction interval

predict(mod, newdata, interval="predict")

confidence interval

> predict(mod, newdata, interval="confidence",level=.95)

fit lwr upr

1 81.03364 43.52379 118.5435

95% CI = (43.52, 118.54)

f). #prediction interval

> predict(mod, newdata, interval="predict",level=.95)

fit lwr upr

1 81.03364 14.19586 147.8714

95% PI=(14.20, 147.87)

g). No, there is not evidence this factor is significant. It should be dropped from the model.

4 0

3 years ago

In the diagram below secants PT & PU have been drawn from exterior point P such that the four arcs intercepted have the foll

fiasKO [112]

Answer:

x = 30°
RS = 30°, SR = TU = 120°, UR = 90°
∠P = 45°
∠UTS = 60°

Step-by-step explanation:

(a) If RS = x, then the sum of arcs around the circle is ...

x + 4x +4x +3x = 360°

12x = 360°

x = 30°

(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°

RS = 30°
ST = 120°
TU = 120°
UR = 90°

(c) Angle P is half the difference of arcs TU and RS:

∠P = (TU -RS)/2 = (120° -30°)/2

∠P = 45°

(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...

∠UTS = 120°/2 = 60°

4 0

3 years ago

Solve for x<br> solve for x<br> solve for x

Rainbow [258]

Answer:

4x+12=120°

X=12-4=120°

X=8=120

X=120/8

X=15

4 0

3 years ago

Read 2 more answers

I need help on this one

bulgar [2K]

Answer:

16 months

Step-by-step explanation:

Look at the chart on the left and look at what number of months is closest to 15,000. 16 is at 15,034

To solve mathematically:

y is the balance that his account would have. You want to find the amount of months it will take before it becomes $15,000, so 15000 is your y value

15,000= - 440.91x+22,060.7

-7,060.7= - 440.91x Subtract 22,060.7 from both sides

16.0139=x Divide both sides by - 440.91

6 0

3 years ago

56+24x product of the gcf and sum

sergejj [24]

SOLUTION:

GCF = 8

56 + 24x = 8 ( 7 + 3x )

Hope this helps! :)

3 0

3 years ago

in Colorado the state sales tax is 2.9%. if you buy a $2100 computer in Colorado, how much state tax will you pay?​

in Colorado the state sales tax is 2.9%. if you buy a $2100 computer in Colorado, how much state tax will you pay?