Find the sum of the sequence. 45+46+47+48+...+108

2 answers:

7 0

We know, S = n/2 [ a + l ]
Here, a = 45
l = 108

Calculation of n:
a(n) = a + (n - 1)d
108 = 45 + (n - 1)1
108 - 45 = n - 1
63 + 1 = n
n = 64

Now, substitute in the expression:
S = 64/2 [ 45 + 108 ]
S = 32 [ 153 ]
S = 4896

In short, Your Answer would be 4896

Hope this helps!

OLga [1]4 years ago

6 0

The Total sum of the mentioned series is 4896

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Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings

faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

$\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)$