Answer:
The number of big pictures are 49 and number of small pictures are 48 .
Step-by-step explanation:
Let us assume that the number of big pictures are x .
Let us assume that the number of small pictures are y .
As given
Big pictures are 56$ each small ones are 34$.
97 were sold at the total of $4,376.
Equations becomes
x + y = 97
56x + 34y = 4376
Multiply x + y = 97 by 56 and subtracted from 56x + 34y = 4376 .
56x - 56x + 34y - 56y = 4376 - 5432
-22y = - 1056
22y = 1056

y = 48
Put value of y in the equation x + y = 97
x + 48 =97
x = 97 - 48
x = 49
Therefore the number of big pictures are 49 and number of small pictures are 48 .
Answer:
The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38
Step-by-step explanation:
The equation of the normal to the curve is
Y- y1 = - 1/m (x- x1)
Where m is the gradient.
See attached picture for the complete solution.
He has to pay by the time the loan reaches maturity
550+60=610
8/100 * 125 =
(125 * 8)/100 =
1000/100 =
10
$125 + $10 = $135
Answer: B. $135.00
Answer:
a)
Step-by-step explanation:
Square root of 75 (√75) is regarded as a surd function because the value inside the square root sign is not a perfect square. In that case the given value will be splitted into the product of a largest perfect square and a prime number as shown:
√75 = √3×25
√75 = √3×√25
√75 = √3 × 5
√75 = 5√3
a) Based on the above calculation, it can be inferred that his reasoning is incorrect. The value of 3 was supposed to be inside a square root not a whole number i.e √3 × √25
b) Since √75 = 5√3
√75 = 5 × 1.7321
√75 = 8.6605
√75 = 8.661 {to nearest thousand}